Introduction to topology

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Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness.

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Title Statements

Full title :Introduction to topology / by Bert Mendelson.

Summary

Edition Statements

Publication Date:1990.
Edition:Third edition ; Dover edition

Publication Statements

Publisher(s):Dover Publications, Inc
Place of Publication:New York
Language:eng
Publication Date:1990.

Notes

"Unabridged, unaltered republication of the work originally published by Allyn and Bacon, Inc., Boston, 1975"--Title page verso.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780486135090, 0486135098
oclc:ocn828933290
LC Classification:QA611
Dewey Decimal:514

Cover; Title Page; Copyright Page; Contents; Preface; 1 Theory of Sets; 1 Introduction; 2 Sets and subsets; 3 Set operations: union, intersection, and complement; 4 Indexed families of sets; 5 Products of sets; 6 Functions; 7 Relations; 8 Composition of functions and diagrams; 9 Inverse functions, extensions, and restrictions; 10 Arbitrary products; 2 Metric Spaces; 1 Introduction; 2 Metric spaces; 3 Continuity; 4 Open balls and neighborhoods; 5 Limits; 6 Open sets and closed sets; 7 Subspaces and equivalence of metric spaces; 8 An infinite dimensional Euclidean space; 3 Topological Spaces.

1 Introduction2 Topological spaces; 3 Neighborhoods and neighborhood spaces; 4 Closure, interior, boundary; 5 Functions, continuity, homeomorphism; 6 Subspaces; 7 Products; 8 Identification topologies; 9 Categories and functors; 4 Connectedness; 1 Introduction; 2 Connectedness; 3 Connectedness on the real line; 4 Some applications of connectedness; 5 Components and local connectedness; 6 Path-connected topological spaces; 7 Homotopic paths and the fundamental group; 8 Simple connectedness; 5 Compactness; 1 Introduction; 2 Compact topological spaces; 3 Compact subsets of the real line.

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