This book describes some of the most important examples of spectral sequences and some of their most spectacular applications.
Provides a user's manual for the class of complicated algebraic gadgets known as spectral sequences, for students of algebraic topology who are interested in applying spectral sequences to questions in topology. Covers algebraic foundations, four classical examples of spectral sequences found in homotopy theory, and other spectral sequences and examples. Assumes a previous course in basic topology and basic knowledge of the homological algebra of rings and modules. This second edition contains new chapters on nontrivial fundamental groups and on the Bockstein spectral sequence. McCleary is affiliated with Vassar College. Annotation c. Book News, Inc., Portland, OR (booknews.com)