Topology for Analysis.cAlbert Wilansky
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Author: Albert Wilansky
Number of Pages: 383 pages
Published Date: 01 Jan 2009
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486469034
File Name: Topology.for.Analysis.pdf
Download Link: Topology for Analysis
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Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.
From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.
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