A Context for Manifold Calculus
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917363296763904 |
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| author | Arakawa, Kensuke |
| author_facet | Arakawa, Kensuke |
| contents | We develop Weiss's manifold calculus in the setting of $\infty$-categories, where we allow the target $\infty$-category to be any $\infty$-category with small limits. We will establish the connection between polynomial functors, Kan extensions, and Weiss sheaves, and will classify homogeneous functors. We will also generalize Weiss and Boavida de Brito's theorem to functors taking values in arbitrary $\infty$-categories with small limits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Context for Manifold Calculus Arakawa, Kensuke Algebraic Topology Category Theory 55U35, 57R40, 18F50 We develop Weiss's manifold calculus in the setting of $\infty$-categories, where we allow the target $\infty$-category to be any $\infty$-category with small limits. We will establish the connection between polynomial functors, Kan extensions, and Weiss sheaves, and will classify homogeneous functors. We will also generalize Weiss and Boavida de Brito's theorem to functors taking values in arbitrary $\infty$-categories with small limits. |
| title | A Context for Manifold Calculus |
| topic | Algebraic Topology Category Theory 55U35, 57R40, 18F50 |
| url | https://arxiv.org/abs/2403.03321 |