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Book: Spectral Sequences in Algebraic Topology
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Spectral Sequences in Algebraic Topology
Authors: Allen Hatcher
Uploaded by:
bci1
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- Comments:
- About 100 pages, 3 chapters, 2004
- Abstract:
- Chapter 1: the Serre spectral sequence with applications: Homology and Cohomology spectral sequences, Eilenberg-MacLane spaces, with an application to homotopy groups of spheres;
Chapter 2: The Adams spectral sequence: spectra and spectral sequence construction, with cobordism and the BP spectrum applications;
Chapter 3: Eilenberg-Moore spectral sequences (Homology and Cohomology spectral sequences) following the geometric viewpoint of Larry Smith and Luke Hodgkin, without applications.
Future topics to be included:
A. The Bockstein Spectral Sequence
B. The Mayer-Vietoris Spectral Sequence
C. The EHP Spectral Sequence
D. Localization additional notes
E. Bott Periodicity (the algebraic topology proof)
- Rights:
-
Open access:
http://www.math.cornell.edu/~hatcher/SSAT/SSATpage.html
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Pending Errata and Addenda
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