Overview

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.

Full Product Details

Author:   M.A. Armstrong
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1983
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.840kg
ISBN:  

9781441928191

ISBN 10:   1441928197
Pages:   251
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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Table of Contents

1 Introduction.- 2 Continuity.- 3 Compactness and connectedness.- 4 Identification spaces.- 5 The fundamental group.- 6 Triangulations.- 7 Surfaces.- 8 Simplicial homology.- 9 Degree and Lefschetz number.- 10 Knots and covering spaces.- Appendix: Generators and relations.

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