Eric Van Douwen's papers
[1] 97f:54039 van Douwen, Eric K.; Lutzer, David
J. A note on paracompactness in generalized ordered spaces. Proc.
Amer. Math. Soc. 125 (1997), no. 4, 1237--1245.
(Reviewer: O. T. Alas) 54F05 (54D20)
[2] 96a:01047 van Douwen, Eric
K. Collected papers. Vol. I, II. Edited and with a preface by
Jan van Mill. North-Holland Publishing Co., Amsterdam,
1994. Vol. I: x+767 pp.; Vol. II: pp. i--iv and 769--1550. ISBN:
0-444-81625-9 (Reviewer: Andreas Blass) 01A75 (01A75 03E35 03E75
06E05 28-03 54-06)
[3] 95f:54016 van Douwen, E.
K.; Stone, A. H. Are most measurable functions one-to-one? Portugal.
Math. 49 (1992), no. 4, 429--446. (Reviewer:
Ryszard J. Pa\.wlak) 54C35 (28A20 54A10)
[4] 95c:54040 van Douwen, Eric
K. Mild infinite dimensionality of 3177\beta X3177 and 3177\beta
X-X3177 for metrizable 3177X3177. Topology Appl. 51
(1993), no. 2, 93--108. (Reviewer: Roman Pol) 54D35 (54E35
54F45)
[5] 95b:54029 van Douwen, Eric
K.; van Mill, Jan The homeomorphism extension theorem for 3177\beta\omega\sbs\omega3177.
Papers on general topology and applications (Madison, WI,
1991), 345--350, Ann. New York Acad. Sci., 704, New York
Acad. Sci., New York, 1993. 54D35 (54C20)
[6] 94m:54086 van Douwen, Eric
K. Iterated quasicomponents of subspaces of rational continua.
Topology Appl. 51 (1993), no. 2, 81--85.
(Reviewer: H. H. Wicke) 54F15 (54D05 54G20)
[7] 94m:54081 van Douwen, Eric
K. On Mike's misnamed intersection topologies. Topology Appl.
51 (1993), no. 2, 197--201. 54E99
[8] 94m:06014 van Douwen, Eric
K. Small tree algebras with nontree subalgebras. Topology
Appl. 51 (1993), no. 2, 173--181. (Reviewer:
Marcel Erné) 06E10 (06E15 54F05)
[9] 94i:54054 van Douwen, Eric
K. The \v Cech-Stone remainder of some nowhere locally compact
spaces. Topology Appl. 47 (1992), no.
3, 165--171. (Reviewer: J. M. Aarts) 54D40 (54D35)
[10] 94i:54031 van Douwen, Eric
K. Nonextendible functions characterize dense 3177G\sb \delta3177's
in metrizable spaces. Topology Appl. 51 (1993),
no. 2, 187--190. (Reviewer: J. M. Aarts) 54C20 (54C30)
[11] 94h:54017 van Douwen, Eric
K. Environments of closed sets, and complements in metrizable
spaces. Topology Appl. 51 (1993), no.
2, 109--124. (Reviewer: Stoyan Nedev) 54C25 (54C10 54C20 54C56
54E35)
[12] 94h:54012 van Douwen, Eric
K. Applications of maximal topologies. Topology Appl.
51 (1993), no. 2, 125--139. 54C05 (54G15)
[13] 94g:54030 van Douwen, Eric
K. 3177\beta X3177 and fixed-point free maps. Topology Appl.
51 (1993), no. 2, 191--195. (Reviewer: Beverly
Diamond) 54H25
[14] 94g:54017 van Douwen, Eric
K. Chains of spaces. Topology Appl. 51 (1993),
no. 2, 203--209. (Reviewer: S. A. Naimpally) 54D35 (54D25 54G05)
[15] 94g:54016 van Douwen, Eric
K. Compactness-like properties and nonnormality of the space of
nonstationary ultrafilters. Topology Appl. 51
(1993), no. 2, 73--79. (Reviewer: Richard Wilson) 54D30
(03E75 54D15)
[16] 94g:51023 van Douwen, Eric
K. Indivisibility of balls in Euclidean 3177n3177-space. Topology
Appl. 51 (1993), no. 2, 183--185. (Reviewer:
M. Edelstein) 51F20 (51M20 54A99)
[17] 94f:54079 van Douwen, Eric
K. The shift on the \v Cech-Stone compactification of the integers.
Topology Appl. 51 (1993), no. 2, 211--220.
(Reviewer: Sarah E. Holte) 54H20
[18] 94f:54034 van Douwen, Eric
K. Uncountably many pairwise disjoint copies of one metrizable
compactum in another. Topology Appl. 51 (1993),
no. 2, 87--91. (Reviewer: Michael Tka\v cenko) 54C25
[19] 94e:54047 van Douwen, Eric
K. A technique for constructing honest locally compact submetrizable
examples. Topology Appl. 47 (1992),
no. 3, 179--201. (Reviewer: Melvin Henriksen) 54G20 (54D20 54D45)
[20] 94e:54036 Blair, Robert
L.; van Douwen, Eric K. Nearly realcompact spaces. Topology
Appl. 47 (1992), no. 3, 209--221. (Reviewer:
Melvin Henriksen) 54D60 (54C10 54D30 54F65 54G05)
[21] 94d:54064 van Douwen, Eric
K. Orderability of all noncompact images. Topology Appl.
51 (1993), no. 2, 159--172. (Reviewer: K. D.
Magill, Jr.) 54F05 (54C05 54C99 54G12)
[22] 94d:54054 van Douwen, Eric
K. An anti-Hausdorff Fréchet space in which convergent
sequences have unique limits. Topology Appl. 51
(1993), no. 2, 147--158. (Reviewer: D. C. Kent) 54D55
(54A20 54D10 54G20)
[23] 94d:54049 van Douwen, Eric
K. 3177\scr P3177-remote points of 3177X3177. Topology Appl.
51 (1993), no. 2, 141--146. (Reviewer: Ronnie
Levy) 54D35
[24] 94c:28004 van Douwen, Eric
K. Finitely additive measures on 3177{N}3177.
Topology Appl. 47 (1992), no. 3, 223--268.
(Reviewer: K. P. S. Bhaskara Rao) 28A10 (28A60 43A07 46A22)
[25] 94b:54073 van Douwen, Eric
K. Better closed ultrafilters on 3177{Q}3177.
Topology Appl. 47 (1992), no. 3, 173--177.
(Reviewer: W. W. Comfort) 54D35
[26] 94a:54066 van Douwen, Eric
K. Rigid zero-dimensional dyadic spaces. Topology Appl.
47 (1992), no. 3, 203--208. (Reviewer: H. H.
Wicke) 54D30 (06E99 54B15 54G15)
[27] 93k:54027 van Douwen, Eric
K. The product of a Fréchet space and a metrizable space.
Topology Appl. 47 (1992), no. 3, 163--164.
54B10 (54D55)
[28] 93f:54012 van Douwen, Eric
K. The product of two normal initially 3177\kappa3177-compact
spaces. Trans. Amer. Math. Soc. 336 (1993),
no. 2, 509--521. (Reviewer: J. E. Vaughan) 54B10 (03E35 03E50
54A35 54D20 54D35)
[29] 93a:54020 van Douwen, E.
K.; Reed, G. M.; Roscoe, A. W.; Tree, I. J. Star covering properties.
Topology Appl. 39 (1991), no. 1, 71--103.
(Reviewer: H. H. Wicke) 54D20 (54A35 54E30)
[30] 92g:54026 van Douwen, Eric
K. The \v Cech-Stone compactification of a discrete groupoid.
Topology Appl. 39 (1991), no. 1, 43--60.
(Reviewer: Paul Milnes) 54D35 (20N02)
[31] 92f:04003 van Douwen, Eric
K. The number of cofinal ultrafilters. Topology Appl.
39 (1991), no. 1, 61--63. (Reviewer: Eva Butkovi\v
cová) 04A20 (54D80)
[32] 92d:54035 van Douwen, E.
K.; Reed, G. M. On chain conditions in Moore spaces. II. Topology
Appl. 39 (1991), no. 1, 65--69. 54E30 (54A25
54B10 54C25)
[33] 92d:06032 van Douwen, Eric
K. On question Q47. Topology Appl. 39 (1991),
no. 1, 33--42. (Reviewer: Judith Roitman) 06E05 (03E35)
[34] 92c:54018 van Douwen, Eric
K. Nonnormality or hereditary paracompactness of some spaces of
real functions. Topology Appl. 39 (1991),
no. 1, 3--32. (Reviewer: Eliza Wajch) 54C35 (54A35 54D15 54D20)
[35] 91k:03133 van Douwen, Eric
K.; Fleissner, William G. Definable forcing axiom: an alternative
to Martin's axiom. Topology Appl. 35 (1990),
no. 2-3, 277--289. (Reviewer: Marion Scheepers) 03E50 (03E35 03E65)
[36] 91j:54048 Baumgartner,
James E.; van Douwen, Eric K. Strong realcompactness and weakly
measurable cardinals. Topology Appl. 35 (1990),
no. 2-3, 239--251. (Reviewer: Hao Xuan Zhou) 54D60 (03E35 03E55)
[37] 91j:54047 van Douwen, Eric
K. Transfer of information about 3177\beta{N}-{N}3177
via open remainder maps. Illinois J. Math. 34
(1990), no. 4, 769--792. (Reviewer: R. Grant Woods) 54D40
(54D45 54D60)
[38] 91j:54025 van Douwen, E.
K.; Stone, A. H. The topology of close approximation. Topology
Appl. 35 (1990), no. 2-3, 261--275. (Reviewer:
G. D. Dimov) 54C35 (28A20 54A10 54C30 54C50)
[39] 91h:54040 Be\v slagi\'c,
Amer; van Douwen, Eric K. Spaces of nonuniform ultrafilters in
spaces of uniform ultrafilters. Topology Appl. 35
(1990), no. 2-3, 253--260. (Reviewer: Aleksander B\l
aszczyk) 54D40 (54B05 54D10 54D35)
[40] 91g:54030 van Douwen, Eric
K.; Kunen, Kenneth Normality and paracompactness in box products.
Topology Appl. 35 (1990), no. 2-3, 157--161.
(Reviewer: C. R. Borges) 54D20 (54B10)
[41] 91e:52020 van Douwen, Eric
K. The number of isomorphism classes of spreads. Topology
Appl. 34 (1990), no. 1, 105--112. (Reviewer:
Vikram Jha) 52B30 (51A40 51H15)
[42] 91d:54044 van Douwen, Eric
K. The maximal totally bounded group topology on 3177G3177 and
the biggest minimal 3177G3177-space, for abelian groups 3177G3177.
Topology Appl. 34 (1990), no. 1, 69--91.
(Reviewer: K. A. Ross) 54G05 (22B05 54C20 54C45 54H20)
[43] 91c:54008 van Douwen, Eric
K. Martin's axiom and pathological points in 3177\beta X\sbs X3177.
Topology Appl. 34 (1990), no. 1, 3--33.
(Reviewer: R. Grant Woods) 54A35 (54D35)
[44] 91b:54043 van Douwen, Eric
K.; Vaughan, Jerry E. Some subspaces of ordinals with normal products.
Papers on general topology and related category theory and
topological algebra (New York, 1985/1987), 169--172, Ann.
New York Acad. Sci., 552, New York Acad. Sci., New York,
1989. (Reviewer: R. M. Stephenson, Jr.) 54D15 (54B10 54F05)
[45] 91b:54013 van Douwen, Eric
K. Mappings from hyperspaces and convergent sequences. Topology
Appl. 34 (1990), no. 1, 35--45. (Reviewer:
Hidenori Tanaka) 54B20 (54C65 54D05 54D30)
[46] 91b:43003 van Douwen, Eric
K. Measures invariant under actions of 3177F\sb 23177. Topology
Appl. 34 (1990), no. 1, 53--68. (Reviewer:
Joseph Max Rosenblatt) 43A05
[47] 91a:03100 van Douwen, Eric
K. The automorphism group of 3177{\scr P}(\omega)/{\rm fin}3177
need not be simple. Topology Appl. 34 (1990),
no. 1, 97--103. (Reviewer: Sabine Koppelberg) 03E35 (06E05 20B27
54D35)
[48] 90k:54017 van Douwen, Eric
K. An easier superrigid countable 3177T\sb 13177-space. Topology
Appl. 34 (1990), no. 1, 93--95. (Reviewer:
Judith Roitman) 54C05
[49] 90k:06025 van Douwen, Eric
K. A 3177\sigma3177-linked Boolean algebra without positive measure.
Topology Appl. 34 (1990), no. 1, 47--51.
(Reviewer: Sabine Koppelberg) 06E10 (28A60)
[50] 90j:54002 van Douwen, Eric
K.; Zhou, Hao Xuan The number of cozero-sets is an 3177\omega3177-power.
Topology Appl. 33 (1989), no. 2, 115--126.
(Reviewer: Mohammad Ismail) 54A25
[51] 90h:28007 van Douwen, Eric
K. Fubini's theorem for null sets. Amer. Math. Monthly
96 (1989), no. 8, 718--721. (Reviewer: J. C.
Oxtoby) 28A35
[52] 90c:01087 van Mill, Jan
In memoriam: Eric Karel van Douwen (1946--1987). Topology
Appl. 31 (1989), no. 1, 1--18. 01A70
[53] 90b:54015 van Douwen, Eric
K.; Kunen, Kenneth; van Mill, Jan There can be 3177C\sp *3177-embedded
dense proper subspaces in 3177\beta\omega-\omega3177. Proc.
Amer. Math. Soc. 105 (1989), no. 2, 462--470.
(Reviewer: J. E. Vaughan) 54D35 (03E35 54A35)
[54] 89k:54048 van Douwen, E.
K. Countable homogeneous spaces and countable groups. General
topology and its relations to modern analysis and algebra, VI
(Prague, 1986), 135--154, R & E Res. Exp. Math., 16,
Heldermann, Berlin, 1988. (Reviewer: J. M. Aarts) 54C99
(22A99 54D40)
[55] 89a:54007 Be\v slagi\'c,
Amer; van Douwen, Eric K.; Merrill, John W. L.; Watson, W. Stephen
The cardinality of countably compact Hausdorff spaces. Topology
Appl. 27 (1987), no. 1, 1--10. (Reviewer:
Hao Xuan Zhou) 54A25 (03E35 54D30)
[56] 88g:54014 van Douwen, Eric
K. Closed copies of the rationals. Comment. Math. Univ. Carolin.
28 (1987), no. 1, 137--139. (Reviewer: J. C.
Oxtoby) 54B05 (54F65)
[57] 87m:54076 van Douwen, Eric
K. A 3177{\germ c}3177-chain of copies of 3177\beta\omega3177.
Topology, theory and applications (Eger, 1983), 261--267,
Colloq. Math. Soc. János Bolyai, 41, North-Holland,
Amsterdam-New York, 1985. (Reviewer: Hao Xuan Zhou) 54D40
[58] 87f:54008 van Douwen, Eric
K. The integers and topology. Handbook of set-theoretic topology,
111--167, North-Holland, Amsterdam-New York, 1984.
(Reviewer: S. H. Hechler) 54A25 (54A35)
[59] 87d:03130 van Douwen, Eric
K. Horrors of topology without 3177{\rm AC}3177: a nonnormal orderable
space. Proc. Amer. Math. Soc. 95 (1985),
no. 1, 101--105. (Reviewer: Norbert Brunner) 03E25 (03E35 03E65
04A25 54D15 54F05 54G20)
[60] 85k:28018 van Douwen, Eric
K. A compact space with a measure that knows which sets are homeomorphic.
Adv. in Math. 52 (1984), no. 1, 1--33.
(Reviewer: George Bachman) 28C15 (43A05)
[61] 84d:54046 van Douwen, Eric
K.; van Mill, Jan Spaces without remote points. Pacific J.
Math. 105 (1983), no. 1, 69--75. (Reviewer:
Soo Bong Chae) 54D35 (54D40 54G20)
[62] 84b:54070 van Douwen, Eric
K. An infinite product of continua without nontrivial embeddings
into itself. Houston J. Math. 8 (1982),
no. 1, 143--145. (Reviewer: Teodor Przymusi\'nski) 54F15 (54B10)
[63] 84b:54050 van Douwen, Eric
K. A locally pathwise connected not path-determined Fréchet
space, or a method of constructing examples. The Proceedings of
the 1981 Topology Conference (Blacksburg, Va., 1981). Topology
Proc. 6 (1981), no. 2, 423--436 (1982).
(Reviewer: S. P. Franklin) 54D55 (54D05)
[64] 84a:54019 van Douwen, Eric
K. Prime mappings, number of factors and binary operations. Dissertationes
Math. (Rozprawy Mat.) 199 (1981), 35 pp.
(1982). (Reviewer: M. Hu\v sek) 54C10 (54A25 54B10 54D35)
[65] 83k:54003 van Douwen, Eric
K.; Kunen, Kenneth 3177L3177-spaces and 3177S3177-spaces in 3177{\cal
P}(w)3177. Topology Appl. 14 (1982),
no. 2, 143--149. (Reviewer: Gary Gruenhage) 54A25 (03E50 04A20
04A30 54A35 54B20)
[66] 83i:54024 van Douwen, Eric
K. Remote points. Dissertationes Math. (Rozprawy Mat.)
188 (1981), 45 pp. (Reviewer: Jack R. Porter)
54D35 (54D40 54G05)
[67] 83h:54004 van Douwen, Eric
K. Cardinal functions on compact 3177F3177-spaces and on weakly
countably complete Boolean algebras. Fund. Math. 114
(1981), no. 3, 235--256. (Reviewer: W. W. Comfort) 54A25
(06E10 06E15 54G05)
[68] 83c:54009 van Douwen, Eric
K.; Goodykoontz, Jack T., Jr. Aposyndesis in hyperspaces and \v
Cech\mhy Stone remainders. General topology and modern analysis
(Proc. Conf., Univ. California, Riverside, Calif., 1980), pp.
43--52, Academic Press, New York-London, 1981. 54B20
(54D40 54F15)
[69] 83b:54026 van Douwen, Eric
K. Nonsupercompactness and the reduced measure algebra. Comment.
Math. Univ. Carolin. 21 (1980), no. 3, 507--512.
54D30 (06E15 28A60 54A25 54G20)
[70] 83a:54030 Burke, Dennis
K.; van Douwen, Eric K. No dense metrizable 3177G\sb{\delta }3177-subspaces
in butterfly semimetrizable Baire spaces. Topology Appl.
11 (1980), no. 1, 31--36. 54E20 (54E25)
[71] 83a:54028 van Douwen, Eric
K. The number of subcontinua of the remainder of the plane. Pacific
J. Math. 97 (1981), no. 2, 349--355. (Reviewer:
Allan Calder) 54D40 (54F15)
[72] 82m:54017 van Douwen, Eric;
van Mill, Jan Supercompact spaces. Topology Appl. 13
(1982), no. 1, 21--32. (Reviewer: A. I. Bashkirov) 54D30
[73] 82j:54051 van Douwen, Eric
K.; Przymusi\'nski, Teodor C. Separable extensions of first countable
spaces. Fund. Math. 105 (1979/80), no.
2, 147--158. 54E18 (03E35 54A35)
[74] 82g:54008 van Douwen, Eric
K. Jones's lemma and inaccessible cardinals. General topology
and modern analysis (Proc. Conf., Univ. California, Riverside,
Calif., 1980), pp. 399--403, Academic Press, New York-London,
1981. (Reviewer: Andrzej Szyma\'nski) 54A25 (03E35 03E55)
[75] 82g:03088 van Douwen, Eric
K. A consistent very small Boolean algebra with countable automorphism
group. Algebra Universalis 11 (1980),
no. 3, 389--392 (1981). (Reviewer: P. \v St\v epánek) 03E35
(03G05 06E05)
[76] 82d:54036 van Douwen, Eric
K. Special bases for compact metrizable spaces. Fund. Math.
111 (1981), no. 3, 201--209. (Reviewer: Joe A.
Guthrie) 54E45 (54D30)
[77] 82b:22002 van Douwen, Eric
K. The product of two countably compact topological groups. Trans.
Amer. Math. Soc. 262 (1980), no. 2, 417--427.
(Reviewer: M. I. Kabenyuk) 22A05 (03E50 54A35 54D30)
[78] 82a:54009 van Douwen, Eric
K. The weight of a pseudocompact (homogeneous) space whose cardinality
has countable cofinality. Proc. Amer. Math. Soc. 80
(1980), no. 4, 678--682. (Reviewer: O. T. Alas) 54A25
[79] 82a:22004 van Douwen, Eric
K. Homogeneity of 3177\beta G3177 if 3177G3177 is a topological
group. Colloq. Math. 41 (1979), no.
2, 193--199. (Reviewer: W. W. Comfort) 22C05 (54D35)
[80] 82a:06024 van Douwen, Eric
K.; Monk, J. Donald; Rubin, Matatyahu Some questions about Boolean
algebras. Algebra Universalis 11 (1980),
no. 2, 220--243. (Reviewer: P. \v St\v epánek) 06E05 (03E35
03G05)
[81] 81m:54039 van Douwen, Eric
K.; van Mill, Jan 3177\beta \omega -\omega 3177 is not first order
homogeneous. Proc. Amer. Math. Soc. 81 (1981),
no. 3, 503--504. (Reviewer: Ronnie Levy) 54D35 (03B10)
[82] 81j:54057 van Douwen, Eric
K. A basically disconnected normal space 3177\Phi 3177 with 3177\beta
\Phi -\Phi =13177. Canad. J. Math. 31 (1979),
no. 5, 911--914. (Reviewer: Ronnie Levy) 54G05
[83] 81i:54006 van Douwen, Eric
K. Covering and separation properties of box products. Surveys
in general topology, pp. 55--129, Academic Press, New
York-London-Toronto, Ont., 1980. (Reviewer: Thomas W. Rishel)
54B10 (54D18)
[84] 81g:54069 van Douwen, Eric
K. A measure that knows which sets are homeomorphic. Topological
structures, II (Proc. Sympos. Topology and Geom., Amsterdam, 1978),
Part 1, pp. 67--71, Math. Centre Tracts, 115, Math. Centrum,
Amsterdam, 1979. (Reviewer: Richard A. Alò) 54H99
(28C10)
[85] 81f:54015 van Douwen, Eric
K.; Wage, Michael L. Small subsets of first countable spaces.
Fund. Math. 103 (1979), no. 2, 103--110.
(Reviewer: William G. Fleissner) 54E30 (03E50)
[86] 81d:54017 van Douwen, Eric
K. Characterizations of 3177\beta {Q}3177 and
3177\beta {R}3177. Arch. Math. (Basel)
32 (1979), no. 4, 391--393. (Reviewer: Donald
Plank) 54D35 (54C20)
[87] 81b:54038 van Douwen, Eric
K.; van Mill, Jan Subspaces of basically disconnected spaces or
quotients of countably complete Boolean algebras. Trans. Amer.
Math. Soc. 259 (1980), no. 1, 121--127.
(Reviewer: V. Kannan) 54G05 (03E50 06E05 54C15 54C25)
[88] 81b:54008 van Douwen, E.
K.; Lutzer, D. J.; Pelant, J.; Reed, G. M. On unions of metrizable
subspaces. Canad. J. Math. 32 (1980),
no. 1, 76--85. (Reviewer: Brian M. Scott) 54B05 (54E35)
[89] 80i:54042 van Douwen, Eric
K. Retracts of the Sorgenfrey line. Compositio Math.
38 (1979), no. 2, 155--161. (Reviewer: Hans-Christian
Reichel) 54F05 (54F65)
[90] 80i:54029 van Douwen, Eric
K. Why certain \v Cech-Stone remainders are not homogeneous. Colloq.
Math. 41 (1979), no. 1, 45--52. (Reviewer:
Douglass L. Grant) 54D40
[91] 80h:54038 van Douwen, Eric
K.; Lutzer, David J. On the classification of stationary sets.
Michigan Math. J. 26 (1979), no. 1,
47--64. (Reviewer: R. Daniel Mauldin) 54F05 (04A20 28A20 54H05)
[92] 80h:54027 van Douwen, Eric
K.; Pfeffer, Washek F. Some properties of the Sorgenfrey line
and related spaces. Pacific J. Math. 81 (1979),
no. 2, 371--377. (Reviewer: D. J. Lutzer) 54D20 (54F05)
[93] 80f:54020 van Douwen, Eric
K. There is no universal separable Moore space. Proc. Amer.
Math. Soc. 76 (1979), no. 2, 351--352. (Reviewer:
Ben Fitzpatrick, Jr.) 54E30
[94] 80e:54031 van Douwen, Eric
K.; Przymusi\'nski, Teodor C. First countable and countable spaces
all compactifications of which contain 3177\beta {N}3177.
Fund. Math. 102 (1979), no. 3, 229--234.
(Reviewer: H. L. Bentley) 54D35
[95] 80b:04007 van Douwen, Eric
K.; van Mill, Jan Parovi\v cenko's characterization of 3177\beta
\omega -\omega 3177 implies CH. Proc. Amer. Math. Soc.
72 (1978), no. 3, 539--541. 04A30 (54D40 54F65
54G05)
[96] 58 #30998 van Douwen, Eric
K. Nonhomogeneity of products of preimages and 3177\pi 3177-weight.
Proc. Amer. Math. Soc. 69 (1978), no.
1, 183--192. (Reviewer: Mary Powderly) 54F99 (54A25)
[97] 58 #24192 van Douwen, Eric
K. Retractions from 3177\beta X3177 onto 3177\beta X-X3177. Gen.
Topology Appl. 9 (1978), no. 2, 169--173.
(Reviewer: Daniel Tanre) 54D35
[98] 58 #24187 Van Douwen, Eric
K.; Tall, Franklin D.; Weiss, William A. R. Nonmetrizable hereditarily
Lindelöf spaces with point-countable bases from CH. Proc.
Amer. Math. Soc. 64 (1977), no. 1, 139--145.
54D20
[99] 58 #18352 van Douwen, Eric
K. When 3177\Pi \beta 3177 and 3177\beta \Pi 3177 are homeomorphic.
Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.
26 (1978), no. 3, 271--274. (Reviewer: M. Husek)
54D35
[100] 57 #13867 van Douwen,
Eric K. An unbaireable stratifiable space. Proc. Amer. Math.
Soc. 67 (1977), no. 2, 324--326. (Reviewer:
C. R. Borges) 54E20
[101] 57 #13831 van Douwen,
Eric K.; Pol, Roman Countable spaces without extension properties.
Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.
25 (1977), no. 10, 987--991. (Reviewer: D. J.
Lutzer) 54C20
[102] 57 #4137 van Douwen, Eric
K. A technique for constructing examples. General topology
and its relations to modern analysis and algebra, IV (Proc. Fourth
Prague Topological Sympos., Prague, 1976), Part B, pp. 111--112.
Soc. Czechoslovak Mathematicians and Physicists, Prague,
1977. (Reviewer: J. Danes) 54G20
[103] 57 #1448 van Douwen, Eric
K. Existence and applications of remote points. Bull. Amer.
Math. Soc. 84 (1978), no. 1, 161--163. (Reviewer:
R. Grant Woods) 54G05
[104] 56 #16577 van Douwen,
E. K.; Lutzer, D. J.; Przymusi\'nski, T. C. Some extensions of
the Tietze-Urysohn theorem. Amer. Math. Monthly 84
(1977), no. 6, 435--441. (Reviewer: J. Dugundji) 54E40
(54E35)
[105] 56 #13158 van Douwen,
Eric K. Hausdorff gaps and a nice countably paracompact nonnormal
space. Topology Proceedings, Vol. I (Conf., Auburn Univ.,
Auburn, Ala., 1976), pp. 239--242. Math. Dept., Auburn
Univ., Auburn, Ala., 1977. (Reviewer: Michael L. Wage) 54D20
(54G20)
[106] 56 #1262 van Douwen, Eric
K. Density of compactifications. Set-theoretic topology (Papers,
Inst. Medicine and Math., Ohio Univ., Athens, Ohio, 1975--1976),
pp. 97--110. Academic Press, New York, 1977. (Reviewer:
V. I. Malyhin) 54D35
[107] 55 #13381 Burke, Dennis
K.; van Douwen, Eric K. On countably compact extensions of normal
locally compact 3177M3177-spaces. Set-theoretic topology (Papers,
Inst. Medicine and Math., Ohio Univ., Athens, Ohio, 1975-1976),
pp. 81--89. Academic Press, New York, 1977. (Reviewer:
Thomas W. Rishel) 54D35
[108] 55 #13364 van Douwen,
Eric K. The Pixley-Roy topology on spaces of subsets. Set-theoretic
topology (Papers, Inst. Medicine and Math., Ohio Univ., Athens,
Ohio, 1975-1976), pp. 111--134. Academic Press, New York,
1977. (Reviewer: A. I. Baskirov) 54B20 (54E30)
[109] 55 #9012 van Douwen, Eric
K. Another nonnormal box product. General Topology and Appl.
7 (1977), no. 1, 71--76. (Reviewer: J. E. Vaughan)
54B10 (54D15 04A15)
[110] 55 #6390 van Douwen, Eric
K.; Wicke, Howard H. A real, weird topology on the reals. Houston
J. Math. 3 (1977), no. 1, 141--152. (Reviewer:
H. R. Bennett) 54G99 (04A15)
[111] 52 #6640 van Douwen, Eric
K. The box product of countably many metrizable spaces need not
be normal. Fund. Math. 88 (1975), no.
2, 127--132. (Reviewer: C. J. Knight) 54B10 (54D15)
[112] 52 #1612 van Douwen, Eric
K. Simultaneous linear extension of continuous functions. General
Topology and Appl. 5 (1975), no. 4, 297--319.
(Reviewer: C. R. Borges) 54C20 (54D15)
[113] 51 #11443 van Douwen,
Eric K. Nonstratifiable regular quotients of separable stratifiable
spaces. Proc. Amer. Math. Soc. 52 (1975),
457--460. (Reviewer: C. R. Borges) 54E20
[114] 49 #3833 van Douwen, Eric
K. A productive, open and closed-hereditary topological invariant
of 3177T\sb{1}3177-spaces which is not hereditary. Nieuw Arch.
Wisk. (3) 19 (1971), 220--221. (Reviewer:
J. D. Baum) 54D10
[115] 48 #9681 van Douwen, Eric
K. The small inductive dimension can be raised by the adjunction
of a single point. Nederl. Akad. Wetensch. Proc. Ser. A {76}=Indag.
Math. 35 (1973), 434--442. (Reviewer: K.
Nagami) 54F45
[116] 47 #1019 van Douwen, Eric
K. A regular space on which every continuous real-valued function
is constant. Nieuw Arch. Wisk. (3) 20 (1972),
143--145. (Reviewer: Joe A. Guthrie) 54D10 (54C30 54G20)
[117] 991 599 van Douwen, Eric
K. Cardinal functions on Boolean spaces. Handbook of Boolean
algebras, Vol. 2, 417--467, North-Holland, Amsterdam,
1989. 54A25 (03G05 06E99 54D30 54G05)
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Eric Karel van Douwen was born in Voorburg (The Netherlands)
on 25 April 1946. He died of a heart attack on 28 July 1987,
in his apartment in Athens (Ohio, USA). Eric obtained a masters
degree in mathematics from the Delft Institute of Technology
(Delft, The Netherlands) in January 1972 and a Ph. D. in Mathematics
from the Vrije Universiteit (Amsterdam, The Netherlands) in March
1975. He initially enrolled in the university as a student in
physics. Due to that he lost a few years.
Eric published Eric was a Ph. D. student in mathematics at
the Delft Institute of Technology (Delft, The Netherlands) from
January 1972 until March 1975. Then, at the invitation of D.J.
Lutzer, he accepted the position of Visiting Assistant Professor
at the University of Pittsburgh (Pittsburgh, PA, USA) from April
1975 until April 1976. He was then appointed by the Institute
for Medicine and Mathematics (Athens, OH, USA) as a research
fellow. He stayed in Athens from April 1976 until August 1982.
After that he was a Van Vleck Assistent Professor of Mathematics
at the University of Wisconsin (Madison, WI, USA), where he stayed
until August 1985. He was then appointed Associate Professor
of Mathematics at North Texas State University (Denton, TX, USA),
where he spent the academic years 1985-86 and 1986-87. His last
appointment was that of Associate Professor of Mathematics at
Ohio University (Athens, OH, USA), where he should have started
in the fall of last yeara. He was very pleased with this appointment.
Eric published over 70 research papers in journals all over
the world. He was supported for many years by the National Science
Foundation. In addition, he was a member of the Mathematical
Association of America and of the Dutch Mathematical Society
"Wiskundig Genootschap". Also, he was on the editorial
board of the journal Topology and its Applications. He
gave numerous invited talks at international conferences. Eric
was a world figure in general topology, known in every corner
of the earth where general topology is practiced. After a number
of troubles, for example in obtaining his green card, it seemed
he finally had come to a point where many of life's complexities
were falling into place. The last days of his life were happy
and relaxed. Eric died unfortunately at a time when it appeared
he was on the threshold of his greatest accomplishments.
Eric started his mathematical career in Delft as a Ph. D.
student under the supervision of J. M. Aarts. He was uncertain
whether he should become an algebraist or a topologist. Someone
in Delft told him that research prospects in topology were better
than in algebra. That made him decide to become a topologist.
Before he obtained his masters degree in mathematics, he published
his first paper, in which he used box products in order to answer
a question due to J. van der Slot1. His doctoral disserationc,
which was motivated by work of R.W. Heath and D.J. Lutzer, answered
problems of C.R. Borges, R.W. Heath, D.J. Lutzer and E.A. Michael
(see Section 2 for more details)d. Along the way, he also proved
that the box product of countably many metrizable spaces need
not be normal, and he wrote an intriguing paper about beta
X entitled "Martin's Axiom and pathological points in
beta X/X". Eric continued his studies under M.A.
Maurice at the Vrije Universiteit in Amsterdam, where he got
his Ph. D.
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With the exception of the material below, the rest of this
web page is from Jan van Mill's memorium
to Eric. We are indebted to Jan for maintaining the memory
of Eric.
I first met Eric on a bus from the Grnd Rapids airport to
the AMS Summer meeting in Kalamazoo in 1974. We visited with
each other many times in Buffalo or over the next years, and
we talked many times weekly during the 15 months I spent in Athen
Ohio between 1979 and 1981. The last six months before I left
Buffalo in 1986 for a year in Prague, Eric telephoned in Buffalo
me twice a week from Denton, Texas two or three times a week.
He died one week before I returned to the U.S.
Our common mathematical interests were box products, linearly
ordered spaces, and topological dynamics. Among our interests
were racquet ball which we played two or three times a week.
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