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The Resource La théorie de l'homotopie de Grothendieck, Georges Maltsiniotis

La théorie de l'homotopie de Grothendieck, Georges Maltsiniotis

Label
La théorie de l'homotopie de Grothendieck
Title
La théorie de l'homotopie de Grothendieck
Statement of responsibility
Georges Maltsiniotis
Creator
Subject
Language
  • fre
  • eng
  • fre
Summary
The aim of this book is to explain the very beautiful homotopy theory developed by Grothendieck in "Pursuing Stacks". The question is to characterize categories of presheaves that modelize homotopy types, thus generalizing the theory of simplicial sets. The criteria discovered by Grothendieck show that there are pretty many such categories, called elementary modelizers. The book describes a categorical construction of left homotopy Kan extensions, generalizing a construction of homotopy colimits by Thomason. The book studies two remarkable classes of functors, proper and smooth functors, these two notions being mutually dual. These functors are characterized by cohomological properties inspired by the proper or smooth base change theorem in algebraic geometry
Member of
Cataloging source
HNK
http://library.link/vocab/creatorName
Maltsiniotis, Georges
Illustrations
illustrations
Index
index present
Language note
Abstract also in English
LC call number
  • QA612.7
  • QA1
LC item number
  • .M33 2005
  • .S6 no.301
Literary form
non fiction
Nature of contents
bibliography
Series statement
Astérisque
Series volume
301
http://library.link/vocab/subjectName
  • Homotopy theory
  • Homotopia de cech (teoria)
  • Topologia algébrica
  • Cohomologia
  • Homotopie
Label
La théorie de l'homotopie de Grothendieck, Georges Maltsiniotis
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [131]-132) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction --- La théorie des catégories test --- Les localisateurs fondamentaux --- Théorie homotopique élémentaire des categories
Control code
64442199
Dimensions
24 cm
Extent
vi, 140 pages
Isbn
9782856291818
Lccn
2006418154
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)64442199
Label
La théorie de l'homotopie de Grothendieck, Georges Maltsiniotis
Publication
Bibliography note
Includes bibliographical references (pages [131]-132) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction --- La théorie des catégories test --- Les localisateurs fondamentaux --- Théorie homotopique élémentaire des categories
Control code
64442199
Dimensions
24 cm
Extent
vi, 140 pages
Isbn
9782856291818
Lccn
2006418154
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)64442199

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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