English

Andr\'e spectral sequences for Baues-Wirsching cohomology of categories

K-Theory and Homology 2014-05-01 v1 Algebraic Topology Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1112.3996,
  title  = {Andr\'e spectral sequences for Baues-Wirsching cohomology of categories},
  author = {Imma Gálvez-Carrillo and Frank Neumann and Andrew Tonks},
  journal= {arXiv preprint arXiv:1112.3996},
  year   = {2014}
}