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Algebraic Topology

'Classics in Mathematics'. Nachdruck d. 1. Auflage 1975. Reprint of the 1975 Edition.
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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. [...] T... weiterlesen
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Produktdetails
Titel: Algebraic Topology
Autor/en: Robert M. Switzer

ISBN: 3540427503
EAN: 9783540427506
'Classics in Mathematics'.
Nachdruck d. 1. Auflage 1975. Reprint of the 1975 Edition.
Springer-Verlag GmbH

10. Januar 2002 - kartoniert - XIII

Beschreibung

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

Inhaltsverzeichnis

o. Some Facts from General Topology
1. Categories, Functors and Natural Transformations
2. Homotopy Sets and Groups3. 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

Portrait

Biography of Robert M. Switzer
Robert 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 Mathematics since 1973. In the early 1980s his research concentrated on obstruction theory in connection with holomorphic bundles on projective spaces.
In 1984 he switched his attention to Computer Science and has been teaching and working in that field ever since.

Pressestimmen

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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