Categories and groupoids / Philip J. Higgins

Public ISBD Titre : Categories and groupoids Type de document : texte imprimé Auteurs : Philip J. Higgins Editeur : London : Van Nostrand Reinhold Company Année de publication : 1971 Collection : van Nostrand Reinhold Mathematical Studies num. 32 Importance : iv - 178 p. ISBN/ISSN/EAN : 442034067 Langues : Anglais Catégories : 01-XX History and biography:01-99 History and biography (not classified at a more specific level) 18-XX Category theory; homological algebra :18-99 Category theory, homological algebra (not classified at a more specific level) 18-XX Category theory; homological algebra :18AXX General theory of categories and functors:18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) 18-XX Category theory; homological algebra :18AXX General theory of categories and functors:18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 18-XX Category theory; homological algebra :18BXX Special categories:18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 20-XX Group theory and generalizations:20EXX Structure and classification of infinite or finite groups:20E07 Subgroup theorems; subgroup growth 20-XX Group theory and generalizations:20FXX Special aspects of infinite or finite groups:20F34 Fundamental groups and their automorphisms 20-XX Group theory and generalizations:20JXX Connections with homological algebra and category theory:20J05 Homological methods in group theory 20-XX Group theory and generalizations:20KXX Abelian groups:20K40 Homological and categorical methods 20-XX Group theory and generalizations:20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) Mots-clés : homology  fundamental group  covering morphism  representation of group  subgroup theorems  colimit  limit  small category  groupoid Index. décimale : 20C Monographie Categories and groupoids [texte imprimé] / Philip J. Higgins . - London : Van Nostrand Reinhold Company, 1971 . - iv - 178 p.. - (van Nostrand Reinhold Mathematical Studies; 32) . ISSN : 442034067 Langues : Anglais Catégories : 01-XX History and biography:01-99 History and biography (not classified at a more specific level) 18-XX Category theory; homological algebra :18-99 Category theory, homological algebra (not classified at a more specific level) 18-XX Category theory; homological algebra :18AXX General theory of categories and functors:18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) 18-XX Category theory; homological algebra :18AXX General theory of categories and functors:18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 18-XX Category theory; homological algebra :18BXX Special categories:18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 20-XX Group theory and generalizations:20EXX Structure and classification of infinite or finite groups:20E07 Subgroup theorems; subgroup growth 20-XX Group theory and generalizations:20FXX Special aspects of infinite or finite groups:20F34 Fundamental groups and their automorphisms 20-XX Group theory and generalizations:20JXX Connections with homological algebra and category theory:20J05 Homological methods in group theory 20-XX Group theory and generalizations:20KXX Abelian groups:20K40 Homological and categorical methods 20-XX Group theory and generalizations:20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) Mots-clés : homology  fundamental group  covering morphism  representation of group  subgroup theorems  colimit  limit  small category  groupoid Index. décimale : 20C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
8492	20C79	imprimé / autre	CRDM	20/THEORIE DES GROUPES GENERALISATIONS	Disponible
8491	20C79	imprimé / autre	CRDM	20/THEORIE DES GROUPES GENERALISATIONS	Disponible

Complicial sets characterising the simplicial nerves of strict ω-categories / Dominic Verity

Public ISBD Titre : Complicial sets characterising the simplicial nerves of strict ω-categories Type de document : texte imprimé Auteurs : Dominic Verity, Auteur Editeur : Providence, R.I. : American Mathematical Society Année de publication : 2008 Collection : Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 905 Importance : 184 p. ISBN/ISSN/EAN : 978-0-8218-4142-6 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D05 Double categories, $2$-categories, bicategories and generalizations 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) Mots-clés : simplicial set  complicial set  omega-category  parity complex  oriental  Gray tensor product  decalage  simplicial nerve  horn filler  Kan complex Index. décimale : Mem Complicial sets characterising the simplicial nerves of strict ω-categories [texte imprimé] / Dominic Verity, Auteur . - Providence, R.I. : American Mathematical Society, 2008 . - 184 p.. - (Memoirs of the American Mathematical Society, ISSN 0065-9266; 905) . ISBN : 978-0-8218-4142-6 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18DXX Categories with structure:18D05 Double categories, $2$-categories, bicategories and generalizations 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) Mots-clés : simplicial set  complicial set  omega-category  parity complex  oriental  Gray tensor product  decalage  simplicial nerve  horn filler  Kan complex Index. décimale : Mem

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19441	Mem/905	imprimé / autre	CRDM	Mem/MEMOIRS AMS	Disponible

a Geometric approach to homology theory / S. Buoncristiano

Public ISBD Titre : a Geometric approach to homology theory Type de document : texte imprimé Auteurs : S. Buoncristiano ; Rourke, C.P. ; Sanderson, B. J. Editeur : Cambridge University Press Année de publication : 1976 Collection : London Mathematical Society Lecture Note Series. num. 18 Importance : 149 p. ISBN/ISSN/EAN : 978-0-521-20940-3 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18FXX Categories and geometry:18F20 Presheaves and sheaves 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 55-XX Algebraic topology:55-02 Research exposition (monographs, survey articles) Mots-clés : manifolds  categorical methods in sheaf theory  lgebraic topology Index. décimale : 55C Monographie a Geometric approach to homology theory [texte imprimé] / S. Buoncristiano ; Rourke, C.P. ; Sanderson, B. J. . - [S.l.] : Cambridge University Press, 1976 . - 149 p.. - (London Mathematical Society Lecture Note Series.; 18) . ISBN : 978-0-521-20940-3 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18FXX Categories and geometry:18F20 Presheaves and sheaves 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 55-XX Algebraic topology:55-02 Research exposition (monographs, survey articles) Mots-clés : manifolds  categorical methods in sheaf theory  lgebraic topology Index. décimale : 55C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
146	55C123	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Disponible
20356	55C123	imprimé / autre	CRDM	55/TOPOLOGIE ALGEBRIQUE	Disponible

Higher topos theory / Jacob Lurie

Public ISBD Titre : Higher topos theory Type de document : texte imprimé Auteurs : Jacob Lurie, Auteur Editeur : Princeton : Princeton University Press Année de publication : 2009 Collection : Annals of Mathematics Studies num. 170 Importance : xv - 925 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-691-14048-3 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18BXX Special categories:18B25 Topoi 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G55 Homotopical algebra Mots-clés : toposes-category  topos  cohomology groups  homotopy theory  higher-order category theory  $n$-gerbe  $n$-stack  $n$-type  Giraud's theorem  Grothendieck topos  geometric topology  model category  simplicial set Index. décimale : 18C Monographie Higher topos theory [texte imprimé] / Jacob Lurie, Auteur . - Princeton : Princeton University Press, 2009 . - xv - 925 p. : ill. ; 25 cm. - (Annals of Mathematics Studies; 170) . ISBN : 978-0-691-14048-3 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18BXX Special categories:18B25 Topoi 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G55 Homotopical algebra Mots-clés : toposes-category  topos  cohomology groups  homotopy theory  higher-order category theory  $n$-gerbe  $n$-stack  $n$-type  Giraud's theorem  Grothendieck topos  geometric topology  model category  simplicial set Index. décimale : 18C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19842	18A26	imprimé / autre	CRDM	18/THEORIE DES CATEGORIES, ALGEBRE HOMOLOGIQUE	Disponible
30134	LAREMA/LUR	imprimé / autre	Fédération FR 2962 - Angers	Angers Ouvrages	Disponible

Local homotopy theory / John Fredrick Jardine

Public ISBD Titre : Local homotopy theory Type de document : texte imprimé Auteurs : John Fredrick Jardine (1951-....), Auteur Editeur : New York, NY : Springer Année de publication : 2015 Collection : Springer Monographs in Mathematics Importance : ix - 508 p. Format : 25 cm ISBN/ISSN/EAN : 978-1-4939-2299-4 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G55 Homotopical algebra Mots-clés : local homotopy theory  stack  simplicial sheaf  simplicial presheaf  injective model structure  projective model structure  Grothendieck topos  n-type  descent  algebraic K-theory  Morel-Voevodsky descent theorem  Brown-Gersten descent theorem Index. décimale : 18C Monographie Local homotopy theory [texte imprimé] / John Fredrick Jardine (1951-....), Auteur . - New York, NY : Springer, 2015 . - ix - 508 p. ; 25 cm. - (Springer Monographs in Mathematics) . ISBN : 978-1-4939-2299-4 Langues : Anglais Catégories : 18-XX Category theory; homological algebra :18-02 Research exposition (monographs, survey articles) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G30 Simplicial sets, simplicial objects (in a category) 18-XX Category theory; homological algebra :18GXX Homological algebra :18G55 Homotopical algebra Mots-clés : local homotopy theory  stack  simplicial sheaf  simplicial presheaf  injective model structure  projective model structure  Grothendieck topos  n-type  descent  algebraic K-theory  Morel-Voevodsky descent theorem  Brown-Gersten descent theorem Index. décimale : 18C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
21845	18A50	imprimé / autre	CRDM	18/THEORIE DES CATEGORIES, ALGEBRE HOMOLOGIQUE	Disponible

Model categories. / Hovey, Mark

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On PL De Rham theory and rational homotopy type / Bousfield, A. K.

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On the André-Quillen cohomology of commutative F2-algebras / Goerss, Paul G.

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Simplicial homotopy theory / Goerss, Paul G.

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