On non-archimedean frames
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911151616425984 |
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| author | Ávila, Francisco Bocardo-Gaspar, Miriam Urenda, Julio Zaldívar, Angel |
| author_facet | Ávila, Francisco Bocardo-Gaspar, Miriam Urenda, Julio Zaldívar, Angel |
| contents | In this investigation, we introduce the class of non-archimedean frames in spirit with the topological notion of non-archimedean spaces. We explore various properties of these frames - particularly their spaciality. We attach a base that constitutes a tree to each non-archimedean frame, and then we observe that every non-archimedean frame is a quotient of the frame of opens of the tree's branch space. Moreover, we give a partial answer to when these frames are canonically isomorphic; this leads to considering some choice principles of the resulting tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On non-archimedean frames Ávila, Francisco Bocardo-Gaspar, Miriam Urenda, Julio Zaldívar, Angel General Topology Category Theory 06D22, 06-XX, 18F70, In this investigation, we introduce the class of non-archimedean frames in spirit with the topological notion of non-archimedean spaces. We explore various properties of these frames - particularly their spaciality. We attach a base that constitutes a tree to each non-archimedean frame, and then we observe that every non-archimedean frame is a quotient of the frame of opens of the tree's branch space. Moreover, we give a partial answer to when these frames are canonically isomorphic; this leads to considering some choice principles of the resulting tree. |
| title | On non-archimedean frames |
| topic | General Topology Category Theory 06D22, 06-XX, 18F70, |
| url | https://arxiv.org/abs/2311.18095 |