Algebraic Topology - Homotopy And Homology: Homotopy and Homology by Robert M. SwitzerAlgebraic Topology - Homotopy And Homology: Homotopy and Homology by Robert M. Switzer

Algebraic Topology - Homotopy And Homology: Homotopy and Homology

byRobert M. Switzer

Paperback | January 10, 2002

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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)
Biography of Robert M. SwitzerRobert M. Switzer was born in Tennessee (USA) in 1940.After majoring in mathematics at Harvard College, he completed his PhD at Stanford University in 1965. He spent 5 years as lecturer at the University of Manchester, England, and then moved to Goettingen, Germany, where he has been Professor of Mathemati...
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Title:Algebraic Topology - Homotopy And Homology: Homotopy and HomologyFormat:PaperbackDimensions:526 pagesPublished:January 10, 2002Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540427503

ISBN - 13:9783540427506

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Table of Contents

o. Some Facts from General Topology 1. Categories, Functors and Natural Transformations 2. Homotopy Sets and Groups 3. Properties of the Homotopy Groups 4. Fibrations 5. CW-Complexes 6. Homotopy Properties of CW-Complexes 7. Homology and Cohomology Theories 8. Spectra 9. Representation Theorems 10. Ordinary Homology Theory 11. Vector Bundles and K-Theory 12. Manifolds and Bordism 13. Products 14. Orientation and Duality 15. Spectral Swquences 16. Characteristic Classes 17. Cohomology Operations and Homology Cooperations 18. The Steenrod Algebra and its Dual 19. The Adams Spectral Sequence and the e-Invariant 20. Calculation of the Corbordism Groups Bibliography Subject Index

Editorial Reviews

From the reviews: "The author has attempted an ambitious and most commendable project. [.] 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." Mathematical Reviews