© 1983
Basic Topology
- Authors
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- M.A.Armstrong
Textbook
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Part of the Undergraduate Texts in Mathematics book series [UTM]
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- Chapters Table of contents [10 chapters]
- About About this book
Table of contents
Search within book
- Front MatterPages i-xiiPDF
- IntroductionM. A. ArmstrongPages 1-26
- ContinuityM. A. ArmstrongPages 27-42
- Compactness and ConnectednessM. A. ArmstrongPages 43-64
- Identification SpacesM. A. ArmstrongPages 65-86
- The Fundamental GroupM. A. ArmstrongPages 87-117
- TriangulationsM. A. ArmstrongPages 119-148
- SurfacesM. A. ArmstrongPages 149-171
- Simplicial HomologyM. A. ArmstrongPages 173-193
- Degree and Lefschetz NumberM. A. ArmstrongPages 195-212
- Knots and Covering SpacesM. A. ArmstrongPages 213-239
- Back MatterPages 241-254PDF
About this book
Introduction
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.
Keywords
Algebraic topology Basic Fundamental group Topologie Topology group theory homology topological invariant
Authors and affiliations
- M.A.Armstrong
- 1
- 1.Department of MathematicsUniversity of DurhamDurhamEngland
Bibliographic information
- Book Title Basic Topology
- Authors M.A. Armstrong
- Series Title Undergraduate Texts in Mathematics
- DOI //doi.org/10.1007/978-1-4757-1793-8
- Copyright Information Springer-Verlag New York 1983
- Publisher Name Springer, New York, NY
- eBook Packages Springer Book Archive
- Hardcover ISBN 978-0-387-90839-7
- Softcover ISBN 978-1-4419-2819-1
- eBook ISBN 978-1-4757-1793-8
- Series ISSN 0172-6056
- Edition Number 1
- Number of Pages XII, 251
- Number of Illustrations 56 b/w illustrations, 0 illustrations in colour
- Additional Information Originally published by McGraw-Hill Book Company, Maidenhead, UK, 1979
- Topics Topology
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