# Homotopy Theory of Bicomplexes

Muro, Fernando, Roitzheim, Constanze (2019) Homotopy Theory of Bicomplexes. Journal of Pure and Applied Algebra, 223 (5). pp. 1913-1939. ISSN 0022-4049. (doi:10.1016/j.jpaa.2018.08.007) (KAR id:67611)

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## 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 E^2-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.

Item Type: Article 10.1016/j.jpaa.2018.08.007 Q Science > QA Mathematics (inc Computing science)Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Constanze Roitzheim 13 Jul 2018 11:16 UTC 17 Aug 2019 23:00 UTC https://kar.kent.ac.uk/id/eprint/67611 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3065-0672