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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.11528 |
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| _version_ | 1866914872602656768 |
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| author | Razafindrakoto, Ando |
| author_facet | Razafindrakoto, Ando |
| contents | We exhibit the proximity frames and proximity homomorphisms as a Kleisli category of a comonad whose underlying functor takes a proximity frame to its frame of round ideals. This construction is known in the literature as {\em stable compactification} (\cite{BezHar2}). We show that the frame of round ideals naturally carries with it two proximities of interest from which two comonads are induced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A correspondence between proximity homomorphisms and certain frame maps via a comonad Razafindrakoto, Ando Category Theory We exhibit the proximity frames and proximity homomorphisms as a Kleisli category of a comonad whose underlying functor takes a proximity frame to its frame of round ideals. This construction is known in the literature as {\em stable compactification} (\cite{BezHar2}). We show that the frame of round ideals naturally carries with it two proximities of interest from which two comonads are induced. |
| title | A correspondence between proximity homomorphisms and certain frame maps via a comonad |
| topic | Category Theory |
| url | https://arxiv.org/abs/2407.11528 |