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Auteur Paul G. GOERSS |
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On the André-Quillen cohomology of commutative F2-algebras / Paul G. GOERSS (1990)
Titre : On the André-Quillen cohomology of commutative F2-algebras Type de document : texte imprimé Auteurs : Paul G. GOERSS, Auteur Editeur : Paris : Société Mathématique de France Année de publication : 1990 Collection : Astérisque, ISSN 0303-1179 num. 186 Importance : 169 p. Langues : Anglais Mots-clés : théorie d'homotopie homologie cohomologie algèbre commutative Note de contenu : références On the André-Quillen cohomology of commutative F2-algebras [texte imprimé] / Paul G. GOERSS, Auteur . - Paris : Société Mathématique de France, 1990 . - 169 p.. - (Astérisque, ISSN 0303-1179; 186) .
Langues : Anglais
Mots-clés : théorie d'homotopie homologie cohomologie algèbre commutative Note de contenu : références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 15947 AST 186 Livre Recherche Salle Disponible Simplicial homotopy theory / Paul G. GOERSS (cop. 2009)
Titre : Simplicial homotopy theory Type de document : texte imprimé Auteurs : Paul G. GOERSS, Auteur ; John .F. JARDINE, Auteur Editeur : Basel : Birkhäuser Année de publication : cop. 2009 Collection : Modern Birkhäuser Classics Importance : XI-510 p. ISBN/ISSN/EAN : 978-3-0346-0188-7 Note générale : Reprint of the 1999 edition Langues : Anglais Mots-clés : homotopie Résumé : Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.
Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature.
Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.Simplicial homotopy theory [texte imprimé] / Paul G. GOERSS, Auteur ; John .F. JARDINE, Auteur . - Basel : Birkhäuser, cop. 2009 . - XI-510 p.. - (Modern Birkhäuser Classics) .
ISBN : 978-3-0346-0188-7
Reprint of the 1999 edition
Langues : Anglais
Mots-clés : homotopie Résumé : Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.
Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature.
Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21424 GOE/55/9091 Livre Recherche Salle Disponible