Problems from Topology Proceedings Topology Atlas

Pearl E. (ed.)0973086718

Table of contents :
Preface……Page 3
Contributed Problems in Topology Proceedings……Page 5
A. Cardinal invariants……Page 7
B. Generalized metric spaces and metrization……Page 9
BB. Metric spaces……Page 13
C. Compactness and generalizations……Page 14
D. Paracompactness and generalizations……Page 21
E. Separation and disconnectedness……Page 26
F. Continua theory……Page 27
G. Mappings of continua and Euclidean spaces……Page 30
H. Homogeneity and mapping of general spaces……Page 35
I. Infinite-dimensional topology……Page 37
K. Connectedness……Page 38
L. Topological algebra……Page 39
M. Manifolds……Page 43
N. Measure and topology……Page 44
O. Theory of retracts; extensions of continuous functions……Page 45
P. Products, hyperspaces, and similar constructions……Page 46
Q. Generalizations of topological spaces……Page 51
R. Dimension theory……Page 52
S. Problems closely related to set theory……Page 53
T. Algebraic and geometric topology……Page 56
V. Geometric problems……Page 57
Y. Topological games……Page 58
Peter J. Nyikos: Classic Problems……Page 59
Classic Problem I……Page 75
Classic Problem II……Page 79
Classic Problem III……Page 80
Classic Problem IV……Page 81
Classic Problem V……Page 84
Classic Problem VI……Page 86
Classic Problem VII……Page 88
Classic Problem VIII……Page 90
New Classic Problems……Page 91
Zoltán T. Balogh: A problem of Katetov……Page 97
Sheldon W. Davis: Questions……Page 98
Alan Dow: Questions……Page 99
Peter J. Nyikos: Dichotomies in compact spaces and T5 spaces……Page 100
Franklin D. Tall: The cardinality of Lindelöf spaces with points G……Page 101
Stephen Watson: Basic problems in general topology……Page 102
Problems from M.E. Rudin’s Lecture notes in set-theoretic topology……Page 105
A. Cardinal function problems……Page 109
B. Souslin and compactness problems……Page 112
C. Separable-Lindelöf problems……Page 113
D. Metrizability problems……Page 114
E. Moore space problems……Page 118
F. Normality of product problems……Page 119
G. Continua theory problems……Page 120
H. Mapping problems……Page 122
Problems from A.V. Arhangel’skii’s Structure and classification of topological spaces and cardinal invariants……Page 123
Cardinal invariants in broad classes of spaces……Page 129
The structure of compact spaces and cardinal invariants……Page 131
The maps and the structure of compact spaces……Page 132
Topological properties of mapping spaces……Page 133
Open problems……Page 135
A note on P. Nyikos’s A survey of two problems in topology……Page 138
Para-Lindelöf spaces……Page 141
Twenty-five years later……Page 142
A note on Open problems in infinite-dimensional topology……Page 144
W.R. Utz: Non-uniformly continuous homeomorphisms with uniformly continuous iterates……Page 145
Beverly L. Brechner: Questions on homeomorphism groups of chainable and homogeneous continua……Page 147
BookmarkTitle:……Page 149
Some problems in applied knot theory and geometric topology……Page 150
D.W. Sumners: Some problems in applied knot theory and some problems in geometric topology……Page 151
Problems proposed by J.L. Bryant and R.C. Lacher……Page 152
Problems proposed by D.W. Sumners……Page 153
Problems proposed by R.F. Williams……Page 154
J. Vieitez: Expansive diffeomorphisms on 3-manifolds……Page 155
Problems from Chattanooga, 1996……Page 157
BookmarkTitle:……Page 159
Problems from Oxford, 2000……Page 160
Alexander Arhangel’skii……Page 161
K.P. Hart……Page 162
Lew Ludwig……Page 163
Mikhail Matveev……Page 164
Peter Nyikos……Page 165
Mary Ellen Rudin……Page 166
Wayne Lewis: Continuum theory problems……Page 167
Chainable continua……Page 171
Decompositions……Page 173
Fixed points……Page 174
Higher-dimensional problems……Page 176
Homeomorphism groups……Page 178
Homogeneity……Page 179
Hyperspaces……Page 182
Mapping properties……Page 183
Problems in the plane……Page 185
Set function T……Page 186
Span……Page 187
Janusz R. Prajs: Problems in continuum theory……Page 188
Classic problems……Page 189
Some new questions……Page 191
Charles L. Hagopian: The plane fixed-point problem……Page 194
Janusz J. Charatonik: On an old problem of Knaster……Page 198
Janusz J. Charatonik: Means on arc-like continua……Page 202
James T. Rogers, Jr.: Classification of homogeneous continua……Page 205
Introduction……Page 207
Aposyndetic decompositions……Page 208
Jones’ classification of homogeneous plane continua……Page 209
Homogeneous curves outside the plane……Page 210
Rogers’ classification scheme for homogeneous curves……Page 211
Classifying homogeneous curves……Page 212
A characterization of homogeneous curves……Page 214
Homogeneous continua of higher dimension……Page 215
Completely regular maps……Page 217
Bibliography……Page 219