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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.
| Preface | |
| Introduction | |
| Continuity | |
| Compactness and connectedness | |
| Identification spaces | |
| The fundamental group | |
| Triangulations | |
| Surfaces | |
| Simplicial homology | |
| Degree and Lefschetz number | |
| Knots and covering spaces | |
| Appendix: Generators and relations | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9780387908397
ISBN-10: 0387908390
Series: Undergraduate Texts in Mathematics
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 251
Published: 5th July 1983
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5
x 1.91
Weight (kg): 0.54
