The Funayama envelope as the $T_D$-hull of a frame
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909465315377152 |
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| author | Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne |
| author_facet | Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne |
| contents | We introduce proximity morphisms between MT-algebras and show that the resulting category is equivalent to the category of frames. This is done by utilizing the Funayama envelope of a frame, which is viewed as the $T_D$-hull. Our results have some spatial ramifications, including a generalization of the $T_D$-duality of Banaschewski and Pultr. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Funayama envelope as the $T_D$-hull of a frame Bezhanishvili, Guram Raviprakash, Ranjitha Suarez, Anna Laura Walters-Wayland, Joanne Category Theory Analysis of PDEs We introduce proximity morphisms between MT-algebras and show that the resulting category is equivalent to the category of frames. This is done by utilizing the Funayama envelope of a frame, which is viewed as the $T_D$-hull. Our results have some spatial ramifications, including a generalization of the $T_D$-duality of Banaschewski and Pultr. |
| title | The Funayama envelope as the $T_D$-hull of a frame |
| topic | Category Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2501.14162 |