ISBN: 3540427503
TITLE: Algebraic Topology  Homotopy and Homology
AUTHOR: Robert M. Switzer
TOC:

Chapter 0 Some Facts from General Topology 1
Chapter 1 Categories, Functors and Natural Transformations 6
Chapter 2 Homotopy Sets and Groups 11
Chapter 3 Properties of the Homotopy Groups 36
Chapter 4 Fibrations 52
Chapter 5 CW-Complexes 64
Chapter 6 Homotopy Properties of CW-Complexes 74
Chapter 7 Homology and Cohomology Theories 99
Chapter 8 Spectra 133
Chapter 9 Representation Theorems 152
Chapter 10 Ordinary Homology Theory 167
Chapter 11 Vector Bundles and K-Theory 190
Chapter 12 Manifolds and Bordism 218
Chapter 13 Products 233
Chapter 14 Orientation and Duality 306
Chapter 15 Spectral Sequences 336
Chapter 16 Characteristic Classes 375
Chapter 17 Cohomology Operations and Homology Cooperations 411
Chapter 18 The Steenrod Algebra andits Dual .440
Chapter 19 The Adams Spectral Sequence and the e-Invariant 458
Chapter 20 Calculation of the Cobordism Groups 490
Bibliography 518
Subject Index 522
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