Introduction to topology
By: by Bert Mendelson.
Edition: 3rd ed.
Publisher: Dover Publications
Published: 1990
Place of publication: New York
Language: eng
Format: Paperback
Number of pages: 206
ISBN-13: 9780486663524
Subjects: Topology.
Notes: Includes bibliographical references (p. 201-202) and index.
"Unabridged, unaltered republication of the work originally published by Allyn and Bacon, Inc., Boston, 1975"--T.p. verso.
Table of contents: label: 1
title: Theory of Sets
pagenum: 1; label: 1
title: Introduction
pagenum: 1; label: 2
title: Sets and Subsets
pagenum: 2; label: 3
title: Set Operations: union, intersection, and complement
pagenum: 4; label: 4
title: Indexed Families of Sets
pagenum: 7; label: 5
title: Products of Sets
pagenum: 9; label: 6
title: Functions
pagenum: 11; label: 7
title: Relations
pagenum: 15; label: 8
title: Composition of Functions and Diagrams
pagenum: 17; label: 9
title: Inverse Functions, Extensions, and Restrictions
pagenum: 21; label: 10
title: Arbitrary Products
pagenum: 25; label: 2
title: Metric Spaces
pagenum: 29 |; label: 1
title: Introduction
pagenum: 29; label: 2
title: Metric Spaces
pagenum: 30; label: 3
title: Continuity
pagenum: 35; label: 4
title: Open Balls and Neighborhoods
pagenum: 40; label: 5
title: Limits
pagenum: 47; label: 6
title: Open Sets and Closed Sets
pagenum: 52; label: 7
title: Subspaces and Equivalence of Metric Spaces
pagenum: 58; label: 8
title: An Infinite Dimensional Euclidean Space
pagenum: 66; label: 3
title: Topological Spaces
pagenum: 70; label: 1
title: Introduction
pagenum: 70; label: 2
title: Topological Spaces
pagenum: 71; label: 3
title: Neighborhoods and Neighborhood Spaces
pagenum: 75; label: 4
title: Closure, Interior, Boundary
pagenum: 81; label: 5
title: Functions, Continuity, Homeomorphism
pagenum: 87; label: 6
title: Subspaces
pagenum: 92; label: 7
title: Products
pagenum: 97; label: 8
title: Identification Topologies
pagenum: 101; label: 9
title: Categories and Functors
pagenum: 107; label: 4
title: Connectedness
pagenum: 112; label: 1
title: Introduction
pagenum: 112; label: 2
title: Connectedness
pagenum: 113; label: 3
title: Connectedness on the Real Line
pagenum: 119; label: 4
title: Some Applications of Connectedness
pagenum: 122; label: 5
title: Components and Local Connectedness
pagenum: 130; label: 6
title: Path-Connected Topological Spaces
pagenum: 133; label: 7
title: Homotopic Paths and the Fundamental Group
pagenum: 139; label: 8
title: Simple Connectedness
pagenum: 151; label: 5
title: Compactness
pagenum: 157; label: 1
title: Introduction
pagenum: 157; label: 2
title: Compact Topological Spaces
pagenum: 158; label: 3
title: Compact Subsets of the Real Line
pagenum: 164; label: 4
title: Products of Compact Spaces
pagenum: 168; label: 5
title: Compact Metric Spaces
pagenum: 172; label: 6
title: Compactness and the Bolzano-Weierstrass Property
pagenum: 179; label: 7
title: Surface by Identification
pagenum: 186; label: Bibliography
title: 201; label: Index
title: 203