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＜電子ブック＞
Algebraic Topology - Homotopy and Homology / by Robert M. Switzer
(Classics in Mathematics. ISSN:25125257)

版	1st ed. 2002.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	XIII, 526 p : online resource
著者標目	*Switzer, Robert M author SpringerLink (Online service)
件　名	LCSH:Algebraic topology FREE:Algebraic Topology
一般注記	0 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 Sequences -- 16 Characteristic Classes -- 17 Cohomology Operations and Homology Cooperations -- 18 The Steenrod Algebra and its Dual -- 19 The Adamss Spectral Sequence and the e-Invariant -- 20 Calculation of the Cobordism Groups.  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) HTTP:URL=https://doi.org/10.1007/978-3-642-61923-6

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