Article
Homotopy theory of bicomplexes
Author/s | Muro Jiménez, Fernando
Roitzheim, Constanze |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2019-05 |
Deposit Date | 2019-04-05 |
Published in |
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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 ... 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 E2-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. |
Project ID. | MTM2016-76453-C2-1-P |
Citation | Muro Jiménez, F. y Roitzheim, C. (2019). Homotopy theory of bicomplexes. Journal of Pure and Applied Algebra, 223 (5), 1913-1939. |
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