Algebraic Topology - Homotopy and Homology : Classics in Mathematics - Robert M. Switzer

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Algebraic Topology - Homotopy and Homology

By: Robert M. Switzer

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Paperback | 10 January 2002

At a Glance

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544 Pages

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22.86 x 15.24 x 3.18

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From the reviews:
"The author has attempted an ambitious and most commendable project. He assumes only a modest knowledge of algebraic topology on the part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology theories and their applications. ... The author has sought to make his treatment complete and he has succeeded. The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. ... This book is, all in all, a very admirable work and a valuable addition to the literature...
(S.Y. Husseini in Mathematical Reviews, 1976)

Industry Reviews

From the reviews:

"This book contains much impressive mathematics, namely the achievements by algebraic topologists in obtaining extensive information on the stable homotopy groups of spheres, and the computation of various cobordism groups. It is a long book, and for the major part a very advanced book. ... (It is) suitable for specialists, or for those who already know what algebraic topology is for, and want a guide to the principal methods of stable homotopy theory."
R. Brown in Bulletin of the London Mathematical Society, 1980

"In the more than twenty five years since its first appearance, the book has met with favorable response, both in its use as a text and as reference. It is a good course which leads the reader systematically to the point at which he can begin to tackle problems in algebraic topology. ... This book remains one of the best sources for the material which every young algebraic topologist should know." (Corina Mohorianu, Zentralblatt MATH, Vol. 1003 (3), 2003)

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Some Facts from General Topology	p. 1
Categories, Functors and Natural Transformations	p. 6
Homotopy Sets and Groups	p. 11
Properties of the Homotopy Groups	p. 36
Fibrations	p. 52
CW-Complexes	p. 64
Homotopy Properties of CW-Complexes	p. 74
Homology and Cohomology Theories	p. 99
Spectra	p. 133
Representation Theorems	p. 152
Ordinary Homology Theory	p. 167
Vector Bundles and K-Theory	p. 190
Manifolds and Bordism	p. 218
Products	p. 233
Orientation and Duality	p. 306
Spectral Sequences	p. 336
Characteristic Classes	p. 375
Cohomology Operations and Homology Cooperations	p. 411
The Steenrod Algebra and its Dual	p. 440
The Adams Spectral Sequence and the e-Invariant	p. 458
Calculation of the Cobordism Groups	p. 490
Bibliography	p. 518
Subject Index	p. 522
Table of Contents provided by Blackwell. All Rights Reserved.

Algebraic Topology - Homotopy and Homology

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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