Lecture Notes in Mathematics

Rutter, John W.

This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge.

Details

Published by: Springer

Publication Date: 1997-08-25

Format: Paperback

ISBN-13: 9783540631033

DOI: 10.1007/BFb0093736

Dimensions: 235cm x155cm

Pages: 170