rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Spaces of Homotopy Self-Equivalences - A Survey
  name:
    name part: Rutter, John W.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 1997
    edition: 1st ed. 1997.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 170 p. online resource.
  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.
  table of contents: 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.
  note: by John W. Rutter.
  subject:
    topic: Algebraic topology
  subject:
    topic: Algebraic Topology
  classification: QA612-612.8
  classification: 514.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1662
  identifier: 9783540691358
  identifier: https://doi.org/10.1007/BFb0093736
  record info:
    record creation date: 121227
    record change date: 20190618151245.0
    record identifier: 978-3-540-69135-8