Homotopy Theory of Bicomplexes
Algebraic Topology
2023-02-09 v1 K-Theory and Homology
Abstract
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure's weak equivalences are detected by the -term of the spectral sequence associated to the filtration of the total complex by the horizontal degree. We then extend this result to twisted complexes.
Keywords
Cite
@article{arxiv.1802.07610,
title = {Homotopy Theory of Bicomplexes},
author = {Fernando Muro and Constanze Roitzheim},
journal= {arXiv preprint arXiv:1802.07610},
year = {2023}
}
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26 pages