Algebraic Topology — Homotopy and Homology

✍ Scribed by Robert M. Switzer (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2002
Tongue: English
Leaves: 541
Series: Classics in Mathematics
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

✦ Table of Contents

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

✦ Subjects

Algebraic Topology

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