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, 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.
"1000806523"
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, 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.
22.95 In Stock
Topology for Analysis

Topology for Analysis

by Albert Wilansky
Topology for Analysis

Topology for Analysis

by Albert Wilansky

Paperback

$22.95 
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Overview

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.

Product Details

ISBN-13: 9780486469034
Publisher: Dover Publications
Publication date: 10/17/2008
Series: Dover Books on Mathematics Series
Pages: 398
Product dimensions: 6.10(w) x 9.10(h) x 0.90(d)

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
Appendix, Tables of Theorems and Counterexamples
Bibliography
Index
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