Homotopy spectral sequences
Algebraic Topology
2010-07-06 v1 Category Theory
Abstract
In homotopy theory, exact sequences and spectral sequences consist of groups and pointed sets, linked by actions. We prove that the theory of such exact and spectral sequences can be established in a categorical setting which is based on the existence of kernels and cokernels with respect to an assigned ideal of null morphisms, a generalisation of abelian categories and Puppe-exact categories.
Cite
@article{arxiv.1007.0632,
title = {Homotopy spectral sequences},
author = {Marco Grandis},
journal= {arXiv preprint arXiv:1007.0632},
year = {2010}
}
Comments
accepted for publication in: J. Homotopy Relat. Struct