General Topology

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Courier Corporation, 1 janv. 2004 - 369 pages
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Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory. Many standard spaces are introduced in the related problems that accompany each section (340 exercises in all). The text's value as a reference work is enhanced by a collection of historical notes, a bibliography, and index. 1970 edition. 27 figures.
 

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Table des matières

Set theory 2 Metric spaces
1
Topological Spaces
23
Fundamental concepts
25
Metrizable Spaces
30
Neighborhoods
31
Bases and subbases
37
New Spaces from
41
Subspaces
43
Compactification
143
Paracompactness
152
Products of normal spaces Contents 1
154
15
156
23
162
Connectedness
191
31
197
36
233

Continuous functions
50
Product spaces weak topologies
53
Quotient spaces
60
Convergence 10 Inadequacy of sequences
70
Nets
74
Filters
84
Separation and Countability
85
The separation axioms
87
Regularity and complete regularity
97
Normal spaces
105
Countability properties
114
Compactness
116
Compact spaces
125
Locally compact spaces
133
Uniform Spaces
238
41
264
Function Spaces
278
44
290
Historical Notes
297
Bibliography
323
52
326
77
329
99
330
108
331
116
335
155
337
Index
345
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