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Algebraic Topology (Classics in Mathematics)

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Synopses & Reviews

Publisher Comments:

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)

Synopsis:

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

About the Author

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.

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

Product Details

ISBN:
9783540427506
Author:
Switzer, Robert M.
Publisher:
Springer
Author:
Switzer, R. R.
Location:
Berlin, Heidelberg
Subject:
Topology
Subject:
Homology theory
Subject:
Algebraic topology
Subject:
Homotopy theory
Subject:
Topology - General
Subject:
cohomology theories
Subject:
fibre bundles
Subject:
homolgy theories
Subject:
Homotopy groups.
Subject:
monotopy theory
Subject:
Operations
Subject:
Spectral sequences
Subject:
MATHEMATICS / Topology
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Copyright:
Edition Description:
Reprint of the 1st ed. Berlin Heidelberg New York 1975
Series:
Classics in Mathematics
Series Volume:
ERDC/CRREL TR-01-12
Publication Date:
20020226
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
539
Dimensions:
235 x 155 mm 1660 gr

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Algebraic Topology (Classics in Mathematics) New Trade Paper
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Product details 539 pages Springer-Verlag - English 9783540427506 Reviews:
"Synopsis" by , 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
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