Cubical models of $\infty$-presheaves and the Bousfield-Kan formula
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911273322545152 |
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| author | Arakawa, Kensuke Carranza, Daniel Kapulkin, Chris |
| author_facet | Arakawa, Kensuke Carranza, Daniel Kapulkin, Chris |
| contents | We construct the covariant and the cocartesian model structures on the slice categories of cubical sets and marked cubical sets, respectively. As an application, we derive a version of the Bousfield-Kan formula for arbitrary cofibrantly generated monoidal model categories satisfying Muro's axiom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cubical models of $\infty$-presheaves and the Bousfield-Kan formula Arakawa, Kensuke Carranza, Daniel Kapulkin, Chris Algebraic Topology Category Theory We construct the covariant and the cocartesian model structures on the slice categories of cubical sets and marked cubical sets, respectively. As an application, we derive a version of the Bousfield-Kan formula for arbitrary cofibrantly generated monoidal model categories satisfying Muro's axiom. |
| title | Cubical models of $\infty$-presheaves and the Bousfield-Kan formula |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2511.12809 |