Andr茅 spectral sequences for Baues-Wirsching cohomology of categories

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• 作者：Imma G&aacute ; lvez-Carrillo^a ; ^{m.immaculada.galvez@upc.edu} ; Frank Neumann^b ; ^{fn8@mcs.le.ac.uk} ; Andrew Tonks^c ; ^{a.tonks@londonmet.ac.uk}
• 关键词：18G60 ; 18G40 ; 18C10
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 期刊代码：35_00224049
• 类别：mt
• 出版时间：November, 2012
• 卷：216
• 期：11
• 页码：2549-2561
• 文件大小：284 K

摘要

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.