Andr\'e spectral sequences for Baues-Wirsching cohomology of categories
classification
🧮 math.KT
math.ATmath.CT
keywords
cohomologybaues-wirschingcategorieshomologyincludingsequencesspectralanalyze
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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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