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Introduction to Topology

Theodore W. Gamelin and Robert Everist Greene
Publisher: 
Dover Publications
Publication Date: 
1999
Number of Pages: 
240
Format: 
Paperback
Edition: 
2
Price: 
12.95
ISBN: 
0486406806
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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ONE

METRIC SPACES
  1 Open and closed sets
  2 Completeness
  3 The real line
  4 Products of metric spaces
  5 Compactness
  6 Continuous functions
  7 Normed linear spaces
  8 The contraction principle
  9 The Frechet derivative
TWO TOPOLOGICAL SPACES
  1 Topological spaces
  2 Subspaces
  3 Continuous functions
  4 Base for a topology
  5 Separation axioms
  6 Compactness
  7 Locally compact spaces
  8 Connectedness
  9 Path connectedness
  10 Finite product spaces
  11 Set theory and Zorn's lemma
  12 Infinite product spaces
  13 Quotient spaces
THREE HOMOTOPY THEORY
  1 Groups
  2 Homotopic paths
  3 The fundamental group
  4 Induced homomorphisms
  5 Covering spaces
  6 Some applications of the index
  7 Homotopic maps
  8 Maps into the punctured plane
  9 Vector fields
  10 The Jordan Curve Theorem
FOUR HIGHER DIMENSIONAL HOMOTOPY
  1 Higher homotopy groups
  2 Noncontractibility of Sn
  3 Simplexes and barycentric subdivision
  4 Approximation by piecewise linear maps
  5 Degrees of maps
  BIBLIOGRAPHY
  LIST OF NOTATIONS
  SOLUTIONS TO SELECTED EXERCISES
  INDEX

Dummy View - NOT TO BE DELETED