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An Entity of Type : rdac:C10001, within Data Space : data.idref.fr associated with source document(s)

AttributesValues
type
Author
dc:subject
  • Algebraic Topology
  • Algebraic topology
  • Topologie algébrique
  • Grothendieck, Catégories de
  • K-Theory
  • K-theory
  • K-théorie
  • Topos (mathématiques)
  • Toposes
  • Espaces classifiants
  • Classifying spaces
  • Grothendieck categories
preferred label
  • Classifying spaces and classifying topoi
Language
Subject
dc:title
  • Classifying spaces and classifying topoi
note
  • This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by \"classifying\" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.
dc:type
  • Text
http://iflastandar...bd/elements/P1001
rdaw:P10219
  • 1995
has content type
is primary topic of
is rdam:P30135 of
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