A Concise Course in Algebraic Topology
by J. P. May
Publisher: University Of Chicago Press 1999
Number of pages: 251
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields.
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by Paul Goerss - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
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The aim of this book is to describe significant topics in topological group theory in the early 21st century as well as providing some guidance to the future directions topological group theory might take by including some interesting open questions.
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