Unitalities and mapping spaces in $A_\infty$-categories
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916315727396864 |
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| author | Tanaka, Hiro Lee |
| author_facet | Tanaka, Hiro Lee |
| contents | We prove, over any base ring, that the infinity-category of strictly unital A-infinity-categories (and strictly unital functors) is equivalent to the infinity-category of unital A-infinity-categories (and unital functors). We also identify various models for internal homs and mapping spaces in the infinity-categories of dg-categories and of A-infinity--categories, generalizing results of Toën and Faonte. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unitalities and mapping spaces in $A_\infty$-categories Tanaka, Hiro Lee Category Theory Symplectic Geometry We prove, over any base ring, that the infinity-category of strictly unital A-infinity-categories (and strictly unital functors) is equivalent to the infinity-category of unital A-infinity-categories (and unital functors). We also identify various models for internal homs and mapping spaces in the infinity-categories of dg-categories and of A-infinity--categories, generalizing results of Toën and Faonte. |
| title | Unitalities and mapping spaces in $A_\infty$-categories |
| topic | Category Theory Symplectic Geometry |
| url | https://arxiv.org/abs/2407.05532 |