OPEN PROBLEMS IN TOPOLOGY <PDF 4 MB>

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Table of Contents


Introduction <PDF 0.1 MB> v

I   Set Theoretic Topology <PDF 1.3 MB> 1
 
Dow's Questions < 0.2 PDF MB>
by A. Dow 5
Steprans’ Problems <PDF 0.2 MB>
by J. Steprans 13
Tall’s Problems <PDF 0.3 MB>
by F. D. Tall 21
Problems I wish I could solve <PDF 0.5 MB>
by S. Watson 37
Weiss’ Questions <PDF 0.3 MB>
by W. Weiss 77
Perfectly normal compacta, cosmic spaces, and some partition problems <PDF 0.3 MB>
by G. Gruenhage 85
Open Problems on βω <PDF 0.4 MB>
by K. P. Hart and J. van Mill 97
On first countable, countably compact spaces III: The problem of obtaining separable noncompact examples <PDF 0.5 MB>
by P. Nyikos 127
Set-theoretic problems in Moore spaces <PDF 0.3 MB>
by G. M. Reed 163
Some Conjectures <PDF 0.3 MB>
by M. E. Rudin 183
Small Uncountable Cardinals and Topology <PDF 0.4 MB>
by J. E. Vaughan. With an Appendix by S. Shelah 195

II   General Topology <PDF 0.6 MB> 219
 
A Survey of the Class MOBI <PDF 0.2 MB>
by H. R. Bennett and J. Chaber 221
Problems on Perfect Ordered Spaces <PDF 0.2 MB>
by H. R. Bennett and D. J. Lutzer 231
The Point-Countable Base Problem <PDF 0.3 MB>
by P. J. Collins, G. M. Reed and A. W. Roscoe 237
Some Open Problems in Densely Homogeneous Spaces <PDF 0.2 MB>
by B. Fitzpatrick, Jr. and Zhou Hao-xuan 251
Large Homogeneous Compact Spaces <PDF 0.3 MB>
by K. Kunen 261
Some Problems <PDF 0.2 MB>
by E. Michael 271
Questions in Dimension Theory <PDF 0.3 MB>
by R. Pol 279

III   Continua Theory <PDF 0.2 MB> 293
 
Eleven Annotated Problems About Continua <PDF 0.2 MB>
by H. Cook, W. T. Ingram and A. Lelek 295
Tree-like Curves and Three Classical Problems <PDF 0.2 MB>
by J. T. Rogers, Jr. 303

IV   Topology and Algebraic Structures <PDF 0.7 MB> 311
 
Problems on Topological Groups and other Homogeneous Spaces <PDF 0.6 MB>
by W. W. Comfort 313
Problems in Domain Theory and Topology <PDF 0.3 MB>
by J. D. Lawson and M. Mislove 349

V   Topology and Computer Science <PDF 0.4 MB> 373
 
Problems in the Topology of Binary Digital Images <PDF 0.3 MB>
by T. Y. Kong, R. Litherland and A. Rosenfeld 375
On Relating Denotational and Operational Semantics for Programming Languages with Recursion and Concurrency <PDF 0.3 MB>
by J.-J. Ch. Meyer and E. P. de Vink 387

VI   Algebraic and Geometric Topology <PDF 1.4 MB> 407
 
Problems on Topological Classi.cation of Incomplete Metric Spaces <PDF 0.3 MB>
by T. Dobrowolski and J. Mogilski 409
Problems about Finite-Dimensional Manifolds <PDF 0.4 MB>
by R. J. Daverman 431
A List of Open Problems in Shape Theory <PDF 0.3 MB>
by J. Dydak and J. Segal 457
Algebraic Topology <PDF 0.3 MB>
by G. E. Carlsson 469
Problems in Knot theory <PDF 0.6 MB>
by L. H. Kauffman 487
Problems in Infinite-Dimensional Topology <PDF 0.7 MB>
by J. E. West 523

VII   Topology Arising from Analysis <PDF 0.4 MB> 599
 
Problems in Cp-theory <PDF 0.3 MB>
by A. V. Arkhangel'skii 601
Problems in Topology Arising from Analysis <PDF 0.3 MB>
by R. D. Mauldin 617

VIII   Dynamics <PDF 0.3 MB> 631
 
Continuum Theory and Topological Dynamics <PDF 0.3 MB>
by M. Barge and J. Kennedy 633
One-dimensional versus two-dimensional dynamics <PDF 0.2 MB>
by S. van Strien 645

Index of general terms <PDF 0.2 MB> 655
Index of terms used in the problems <PDF 0.3 MB> 673