Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929459413647360 |
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| author | Shen, Lili Tang, Xiaoye |
| author_facet | Shen, Lili Tang, Xiaoye |
| contents | It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and Kan adjunctions are precisely Isbell adjunctions constructed from suitable associated two-variable adjunctions. Representation theorems are established for fixed points of these adjunctions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_09789 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions Shen, Lili Tang, Xiaoye Category Theory 18D20, 18A40, 18F75 It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and Kan adjunctions are precisely Isbell adjunctions constructed from suitable associated two-variable adjunctions. Representation theorems are established for fixed points of these adjunctions. |
| title | Isbell adjunctions and Kan adjunctions via quantale-enriched two-variable adjunctions |
| topic | Category Theory 18D20, 18A40, 18F75 |
| url | https://arxiv.org/abs/2102.09789 |