ENGLISH

Algebraic Topology — Homotopy and Homology

By Robert M. Switzer (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2002
ISBN
978-3-540-42750-6, 978-3-642-61923-6
Language
english
Format
PDF
Filesize
41 MB (42976910 bytes)
Series
Classics in Mathematics
Edition
1
Pages
XIII, 526\541
Time added
2018-02-03 11:00:00
Algebraic Topology

Description

Front Matter ....Pages i-xiii Some Facts from General Topology (Robert M. Switzer)....Pages 1-5 Categories, Functors and Natural Transformations (Robert M. Switzer)....Pages 6-10 Homotopy Sets and Groups (Robert M. Switzer)....Pages 11-35 Properties of the Homotopy Groups (Robert M. Switzer)....Pages 36-51 Fibrations (Robert M. Switzer)....Pages 52-63 CW-Complexes (Robert M. Switzer)....Pages 64-73 Homotopy Properties of CW-Complexes (Robert M. Switzer)....Pages 74-98 Homology and Cohomology Theories (Robert M. Switzer)....Pages 99-132 Spectra (Robert M. Switzer)....Pages 133-151 Representation Theorems (Robert M. Switzer)....Pages 152-166 Ordinary Homology Theory (Robert M. Switzer)....Pages 167-189 Vector Bundles and K-Theory (Robert M. Switzer)....Pages 190-217 Manifolds and Bordism (Robert M. Switzer)....Pages 218-232 Products (Robert M. Switzer)....Pages 233-305 Orientation and Duality (Robert M. Switzer)....Pages 306-335 Spectral Sequences (Robert M. Switzer)....Pages 336-374 Characteristic Classes (Robert M. Switzer)....Pages 375-410 Cohomology Operations and Homology Cooperations (Robert M. Switzer)....Pages 411-439 The Steenrod Algebra and its Dual (Robert M. Switzer)....Pages 440-457 The Adams Spectral Sequence and the e-Invariant (Robert M. Switzer)....Pages 458-489 Calculation of the Cobordism Groups (Robert M. Switzer)....Pages 490-517 Back Matter ....Pages 518-526

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