General Topology

Couverture
Courier Corporation, 1 janv. 2004 - 369 pages
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 and Metric Spaces
1
Topological Spaces
23
New Spaces from
41
Convergence
70
Separation and Countability
85
Compactness
116
Metrizable Spaces
161
Connectedness
191
Uniform Spaces
238
Function Spaces
278
Historical Notes
297
Bibliography
323
Index
345
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