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- catalog abstract "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.".
- catalog contributor b10521317.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Preliminaries -- Building blocks -- Representations: homology and homotopy -- Surfaces -- Generators: surface, modular groups -- Manifolds of dimension three or more -- * (X) not finitely generated -- Localization -- * (X) finitely presented, nilpotent -- L-R duality -- Cellular/homology complexes: methods -- Cellular, homology complexes: calculations -- Non-1-connected Postnikov: methods -- Homotopy systems, chain complexes -- Non-1-connected spaces: calculations -- Whitehead torsion, simple homotopy -- Unions and products -- Group theoretic properties -- Homotopy type, homotopy groups -- Homotopy automorphisms of H-spaces -- Fibre and equivariant HE's -- Applications -- Arithmetics groups and commensurability -- Nilpotency, rank and group actions -- References -- List of notation -- Index.".
- catalog description "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.".
- catalog extent "ix, 170 p. ;".
- catalog hasFormat "Spaces of homotopy self-equivalences.".
- catalog identifier "3540631038 (soft cover : alk. paper)".
- catalog isFormatOf "Spaces of homotopy self-equivalences.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1662.".
- catalog isPartOf "Lecture notes in mathematics ; 1662".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Spaces of homotopy self-equivalences.".
- catalog subject "510 s 514/.2 21".
- catalog subject "Algebraic topology.".
- catalog subject "H-spaces.".
- catalog subject "Homotopy equivalences.".
- catalog subject "Homotopy groups.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1662 QA612.78".
- catalog tableOfContents "Preliminaries -- Building blocks -- Representations: homology and homotopy -- Surfaces -- Generators: surface, modular groups -- Manifolds of dimension three or more -- * (X) not finitely generated -- Localization -- * (X) finitely presented, nilpotent -- L-R duality -- Cellular/homology complexes: methods -- Cellular, homology complexes: calculations -- Non-1-connected Postnikov: methods -- Homotopy systems, chain complexes -- Non-1-connected spaces: calculations -- Whitehead torsion, simple homotopy -- Unions and products -- Group theoretic properties -- Homotopy type, homotopy groups -- Homotopy automorphisms of H-spaces -- Fibre and equivariant HE's -- Applications -- Arithmetics groups and commensurability -- Nilpotency, rank and group actions -- References -- List of notation -- Index.".
- catalog title "Spaces of homotopy self-equivalences : a survey / John W. Rutter.".
- catalog type "text".