Model category structures on multicomplexes
Algebraic Topology
2021-01-13 v2
Abstract
We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence. Corresponding model structures are given for truncated versions of multicomplexes, interpolating between bicomplexes and multicomplexes. For a fixed stage of the spectral sequence, the model structures on all these categories are shown to be Quillen equivalent.
Cite
@article{arxiv.2001.10873,
title = {Model category structures on multicomplexes},
author = {Xin Fu and Ai Guan and Muriel Livernet and Sarah Whitehouse},
journal= {arXiv preprint arXiv:2001.10873},
year = {2021}
}
Comments
23 pages v2: minor changes, accepted version to appear in special issue of Topology and its Applications dedicated to proceedings of the Women in Topology 3 workshop