Introduction to topology / by Bert Mendelson.

Author/creator Mendelson, Bert, 1926- author.
Format Electronic
EditionThird edition ; Dover edition.
PublicationNew York : Dover Publications, Inc., 1990.
Description1 online resource.
Supplemental ContentProQuest Ebook Central
Subjects
Topology.

SeriesDover Books on Mathematics
Dover books on mathematics. ^A279489
Contents 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.
Contents 1 Introduction; 2 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.
Contents 4 Products of compact spaces; 5 Compact metric spaces; 6 Compactness and the Bolzano-Weierstrass property; 7 Surfaces by identification; Bibliography; Index.
Abstract 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.
General note"Unabridged, unaltered republication of the work originally published by Allyn and Bacon, Inc., Boston, 1975"--Title page verso.
Bibliography noteIncludes bibliographical references (pages 201-202) and index.
Source of descriptionOnline resource; title from EPUB title page (Library Ideas, viewed Sept. 4, 2013).
Issued in other formPrint version: Mendelson, Bert, 1926- Introduction to topology. 3rd ed. ; Dover ed. New York : Dover Publications, 1990 0486663523
Genre/formElectronic books.
ISBN9780486135090 (electronic bk.)
ISBN0486135098 (electronic bk.)
Publisher numberMWT11603476
Stock number11603476 Midwest Tape, LLC http://www.midwesttapes.com