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Title:
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André spectral sequences for Baues-Wirsching cohomology of categories
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Author:
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Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
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Abstract:
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We construct spectral sequences in the framework of Baues-Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications to more classical cohomology and homology theories including Hochschild-Mitchell cohomology and those studied before by Watts, Roos, Quillen and others |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de categories; àlgebra homològica
-Homology theory
-Algebra, Homological GEC
-Àlgebra homològica
-Cohomologia
-Homologia
-Classificació AMS::18 Category theory; homological algebra::18D Categories with structure
-Classificació AMS::18 Category theory; homological algebra::18G Homological algebra |
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Rights:
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Document type:
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Article - Draft
Other |
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