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: Geometry and topology of configuration spaces
  name:
    name part: Fadell, Edward R.
    name part: 1926-
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: Husseini, S. Y.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: gw
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xvi, 313 pages : illustrations ; 24 cm
  abstract: "The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type."--Jacket.
  table of contents: pt. I. The Homotopy Theory of Configuration Spaces -- I. Basic Fibrations -- II. Configuration Space of R[superscript n+1], n> 1 -- III. Configuration Spaces of S[superscript n+1], n> 1 -- IV. The Two Dimensional Case -- part II. Homology and Cohomology of F[subscript k](M) -- V. The Algebra H (F[subscript k](M);Z) -- VI. Cellular Models -- VII. Cellular Chain Models -- part III. Homology and Cohomology of Loop Spaces -- VIII. The Algebra H ([Omega]F[subscript k](M))) -- IX. RPT-Constructions -- X. Cellular Chain Algebra Models -- XI. The Serre Spectral Sequences -- XII. Computation of H ([Lambda](M)) -- XIII. [Gamma]-Category and Ends -- XIV. Problems of k-body Type.
  note: Edward R. Fadell, Sufian Y. Husseini.
  note: Includes bibliographical references (pages 305-309) and index.
  subject:
    topic: Configuration space
  subject:
    topic: Algebraic topology
  subject:
    topic: Espace de configuration
  subject:
    topic: Topologie algébrique
  subject:
    topic: Algebraic topology
  subject:
    topic: Configuration space
  subject:
    topic: Algebraische Topologie
  subject:
    topic: Konfigurationsraum
  subject:
    topic: Algebraïsche topologie
  subject:
    topic: Algebraic topology
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Topologie algébrique
  classification: QA607 .F34 2001
  classification: 516.3/5
  classification: 31.61
  classification: 20F36
  classification: 55-02
  classification: 55R20
  classification: 58B05
  classification: SK 300
  classification: MAT 550f
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 3540666699
  identifier: 9783540666691
  identifier: 00049221
  identifier: http://catdir.loc.gov/catdir/enhancements/fy0812/00049221-t.html
  identifier: http://bvbr.bib-bvb.de:8991/F
  identifier: http://catdir.loc.gov/catdir/enhancements/fy0812/00049221-d.html
  related item:
    location:
      url: http://catdir.loc.gov/catdir/enhancements/fy0812/00049221-t.html
  related item:
    location:
      url: http://bvbr.bib-bvb.de:8991/F
  related item:
    location:
      url: http://bvbr.bib-bvb.de:8991/F
  related item:
    location:
      url: http://catdir.loc.gov/catdir/enhancements/fy0812/00049221-d.html
  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 000921
    record change date: 20240808153700.6
    record identifier: in00004816188
    language of cataloging:
      language term: eng