Introduction to Topology: Third Edition [3 ed.] 0486663523, 0486135098, 9780486663524, 9780486135090

Highly regarded among mathematicians for its exceptional clarity, imaginative and instructive exercises, and fine writin

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English Pages 228 Year 1990

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Introduction to Topology: Third Edition [3 ed.] 0486663523, 0486135098, 9780486663524, 9780486135090

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  • Highest quality scan available. Includes bibliographical references (p. 201-202) and index.

Table of contents :
Theory of Sets
Introduction
Sets and Subsets
Set Operations: union, intersection, and complement
Indexed Families of Sets
Products of Sets
Functions
Relations
Composition of Functions and Diagrams
Inverse Functions, Extensions, and Restrictions
Arbitrary Products
Metric Spaces
Introduction
Metric Spaces
Continuity
Open Balls and Neighborhoods
Limits
Open Sets and Closed Sets
Subspaces and Equivalence of Metric Spaces
An Infinite Dimensional Euclidean Space
Topological Spaces
Introduction
Topological Spaces
Neighborhoods and Neighborhood Spaces
Closure, Interior, Boundary
Functions, Continuity, Homeomorphism
Subspaces
Products
Identification Topologies
Categories and Functors
Connectedness
Introduction
Connectedness
Connectedness on the Real Line
Some Applications of Connectedness
Components and Local Connectedness
Path-Connected Topological Spaces
Homotopic Paths and the Fundamental Group
Simple Connectedness
Compactness
Introduction
Compact Topological Spaces
Compact Subsets of the Real Line
Products of Compact Spaces
Compact Metric Spaces
Compactness and the Bolzano-Weierstrass Property
Surface by Identification
201
203

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Introduction to topology [Unveränd. Nachdr. d. 3. ed., Boston, Allyn and Bacon, 1975] 9780486663524, 0486663523
Introduction to topology [Unveränd. Nachdr. d. 3. ed., Boston, Allyn and Bacon, 1975] 9780486663524, 0486663523

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