Topology for analysis
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, p…
Read More ↓Title Statements
- Full title :Topology for analysis / Albert Wilansky, Lehigh University.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©1998
- Edition:Dover edition
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:Mineola, N.Y
- Language:eng
- Publication Date:©1998
The Physical Object
- Description:1 online resource (xiii, 383 pages)
Edition Identifiers
- ISBN:9780486150758, 0486150755
- oclc:ocn946277902
- LC Classification:QA611
Table of Contents
Introduction -- Topological space -- Convergence -- Separation axioms -- Topological concepts -- Sup, weak, product, and quotient topologies -- Compactness -- Compactification -- Complete semimetric space -- Metrization -- Uniformity -- Topological groups -- Function spaces -- Miscellaneous topics.
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