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Author:   T.W. Gamelin ,  Robert E. Greene
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Edition:   2nd Revised edition
Dimensions:   Width: 15.60cm , Height: 1.40cm , Length: 23.40cm
Weight:   0.328kg
ISBN:  

9780486406800

ISBN 10:   0486406806
Pages:   256
Publication Date:   28 March 2003
Audience:   General/trade ,  College/higher education ,  General ,  Undergraduate
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   In Print  
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Table of Contents

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

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