Introduction to Topology

Introduction to Topology

Paperback Dover Books on Mathematics

By (author) Bert Mendelson

$9.95
List price $16.39
You save $6.44 39% off

Free delivery worldwide
Available
Dispatched in 2 business days
When will my order arrive?

  • Publisher: Dover Publications Inc.
  • Format: Paperback | 224 pages
  • Dimensions: 135mm x 213mm x 13mm | 272g
  • Publication date: 28 January 1991
  • Publication City/Country: New York
  • ISBN 10: 0486663523
  • ISBN 13: 9780486663524
  • Edition: 3, Revised
  • Edition statement: 3rd Revised edition
  • Sales rank: 34,841

Product description

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. 1975 edition.

Other people who viewed this bought:

Showing items 1 to 10 of 10

Other books in this category

Showing items 1 to 10 of 10
Categories:

Table of 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 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   4 Products of compact spaces   5 Compact metric spaces   6 Compactness and the Bolzano-Weierstrass property   7 Surfaces by identification Bibliography Index