On Isbell's Density Theorem for bitopological pointfree spaces I
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910802300108800 |
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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 | This paper addresses dense sub-objects for point-free bitopology in terms of $d$-frames and provides several examples. We characterize extremal epimorphisms in $d$-frames and show that a smallest dense one always exists, establishing a proper analogue of Isbell's Density Theorem for $d$-frames. Further we explore certain questions about the functoriality of assigning the smallest dense sub-object to each pointfree bitopological space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Isbell's Density Theorem for bitopological pointfree spaces I Moshier, M. Andrew Carollo, Imanol Mozo Walters-Wayland, Joanne General Topology 06D22, 54B05 This paper addresses dense sub-objects for point-free bitopology in terms of $d$-frames and provides several examples. We characterize extremal epimorphisms in $d$-frames and show that a smallest dense one always exists, establishing a proper analogue of Isbell's Density Theorem for $d$-frames. Further we explore certain questions about the functoriality of assigning the smallest dense sub-object to each pointfree bitopological space. |
| title | On Isbell's Density Theorem for bitopological pointfree spaces I |
| topic | General Topology 06D22, 54B05 |
| url | https://arxiv.org/abs/2501.16536 |