Algebraic topology--homotopy and homology (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete)

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