Spaces of Homotopy Self-Equivalences : A Survey

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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Príomhchruthaitheoir: Rutter, John W., 1935-
Formáid: Livre numérique
Teanga:Anglais
Foilsithe / Cruthaithe: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Sraith:Lecture notes in mathematics 1662
Ábhair:
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Nóta: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Spaces of homotopy self-equivalences, a survey, John W. Rutter, 1997, Berlin, Springer, 1 volume (IX-170 pages), Lecture notes in mathematics, 3-540-63103-8
• Spaces of Homotopy Self-Equivalences - A Survey, Texte imprimé, 9783662166123
Clár na nÁbhar:
  • 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.