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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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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de categories; àlgebra homològica
-Algebra, Homological
-Categories (Mathematics)
-Àlgebra homològica
-Categories (Matemàtica)
-Classificació AMS::18 Category theory; homological algebra::18G Homological algebra
-Classificació AMS::18 Category theory; homological algebra::18C Categories and theories |
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Rights:
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Document type:
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Article - Published version
Article |
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