Homotopy Limits and Homotopy Colimits of Chain Complexes
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910076192686080 |
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| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We give a formula for homotopy limits and homotopy colimits of diagrams of chain complexes using the cobar and bar constructions, also known as the Bousfield--Kan formula. Along the way, we show that the Bousfield--Kan formula computes homotopy colimits in any framed model category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00201 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homotopy Limits and Homotopy Colimits of Chain Complexes Arakawa, Kensuke Algebraic Topology Category Theory 18G35, 55U15, 57T30 We give a formula for homotopy limits and homotopy colimits of diagrams of chain complexes using the cobar and bar constructions, also known as the Bousfield--Kan formula. Along the way, we show that the Bousfield--Kan formula computes homotopy colimits in any framed model category. |
| title | Homotopy Limits and Homotopy Colimits of Chain Complexes |
| topic | Algebraic Topology Category Theory 18G35, 55U15, 57T30 |
| url | https://arxiv.org/abs/2310.00201 |