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Algebraic topology 1st Edition by Allen Hatcher ISBN 0521795400 978-0521795401

  • SKU: BELL-2043886
Algebraic topology 1st Edition by Allen Hatcher ISBN 0521795400 978-0521795401
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Algebraic topology 1st Edition by Allen Hatcher ISBN 0521795400 978-0521795401 instant download after payment.

Publisher: CUP
File Extension: PDF
File size: 3.18 MB
Pages: 553
Author: Hatcher A.
Language: English
Year: 2002

Product desciption

Algebraic topology 1st Edition by Allen Hatcher ISBN 0521795400 978-0521795401 by Hatcher A. instant download after payment.

Algebraic topology 1st Edition by Allen Hatcher - Ebook PDF Instant Download/Delivery: 0521795400, 978-0521795401

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Product details:

ISBN 10: 0521795400

ISBN 13: 978-0521795401 

Author: Allen Hatcher

In most major universities one of the three or four basic first year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold Thom theorem, and Steenrod squares and powers.

Table of contents:

Part 0: Geometric Foundations

  • Chapter 0: Some Underlying Geometric Notions

Part 1: The Fundamental Group

  • Chapter 1: The Fundamental Group

Part 2: Homology

  • Chapter 2: Homology

Part 3: Cohomology

  • Chapter 3: Cohomology

Part 4: Homotopy Theory

  • Chapter 4: Homotopy Theory

Appendix
Bibliography
Index

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Tags: Allen Hatcher, Algebraic Topology

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