On Isbell's Density Theorem for bitopological pointfree spaces II
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912048055582720 |
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| author | Moshier, M. Andrew Carollo, Imanol Mozo Walters-Wayland, Joanne |
| author_facet | Moshier, M. Andrew Carollo, Imanol Mozo Walters-Wayland, Joanne |
| contents | With the aim of studying subspaces in pointfree bitopology, we characterize extremal epimorphism in biframes and show that a smallest dense one always exists, providing an analogue of Isbell's Density Theorem. Further we study the functoriality of assigning to each biframe its lattice of subbilocales and its smallest dense subbilocale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18619 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Isbell's Density Theorem for bitopological pointfree spaces II Moshier, M. Andrew Carollo, Imanol Mozo Walters-Wayland, Joanne General Topology 06D22, 54B05, 54E55 With the aim of studying subspaces in pointfree bitopology, we characterize extremal epimorphism in biframes and show that a smallest dense one always exists, providing an analogue of Isbell's Density Theorem. Further we study the functoriality of assigning to each biframe its lattice of subbilocales and its smallest dense subbilocale. |
| title | On Isbell's Density Theorem for bitopological pointfree spaces II |
| topic | General Topology 06D22, 54B05, 54E55 |
| url | https://arxiv.org/abs/2409.18619 |