Thomason cohomology of categories

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/19437

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Gálvez Carrillo, Maria Immaculada
dc.contributor.author	Neumann, Frank
dc.contributor.author	Tonks, Andrew
dc.date	2013
dc.identifier.citation	Galvez, M.; Neumann, F.; Tonks, A. Thomason cohomology of categories. "Journal of pure and applied algebra", 2013, vol. 217, núm. 11, p. 2163-2179.
dc.identifier.citation	0022-4049
dc.identifier.citation	10.1016/j.jpaa.2013.02.005
dc.identifier.uri	http://hdl.handle.net/2117/19437
dc.language.iso	eng
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de categories; àlgebra homològica
dc.subject	Homology theory
dc.subject	Algebra, Homological
dc.subject	K-theory
dc.subject	Homologia
dc.subject	K-teoria
dc.subject	Àlgebra homològica
dc.subject	Classificació AMS::18 Category theory; homological algebra::18G Homological algebra
dc.subject	Classificació AMS::18 Category theory; homological algebra::18D Categories with structure
dc.subject	Classificació AMS::55 Algebraic topology::55U Applied homological algebra and category theory
dc.title	Thomason cohomology of categories
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We investigate cohomology and homology theories of categories with general coefficients given by functors on simplex categories first studied by Thomason. These generalize Baues–Wirsching cohomology and homology of a small category, and coincide with Gabriel–Zisman cohomology and homology of the simplicial nerve of the category. Thus Baues–Wirsching cohomology of categories is seen to be a special case of simplicial cohomology. We analyze naturality and functoriality properties of these theories and construct associated spectral sequences for functors between small categories.
dc.description.abstract	Peer Reviewed

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