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Spaces of homotopy self-equivalences : a survey /

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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 calcul...

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Bibliographic Details
Main Author: Rutter, John W., 1935-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1997]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1662.
Subjects:
Homotopy groups.
Homotopy equivalences.
H-spaces.
Groupes d'homotopie.
Équivalences d'homotopie.
H-espaces.
Algebraïsche topologie.
Homotopia.
Homotopieäquivalenz.
Homotopiegruppe.
Rationale Homotopietheorie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (ix, 170 pages) : illustrations.
Bibliography:Includes bibliographical references (pages [138]-162) and index.
ISBN:9783540691358 (electronic bk.)
3540691359 (electronic bk.)
ISSN:0075-8434 ;