Fractured Structures in Condensed Mathematics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911503157821440 |
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| author | Rasekh, Nima Zhu, Qi |
| author_facet | Rasekh, Nima Zhu, Qi |
| contents | We construct a fractured structure, in the sense of Lurie, on the $\infty$-topos of condensed anima. This fractured structure allows us to better comprehend various properties of condensed anima - we use it to exhibit an explicit collection of jointly conservative points for condensed anima. To rule out further candidates for fractured structures, we analyze limits in the category of extremally disconnected spaces. In particular, we show that it does not admit all fibers, answering a question from Clausen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09618 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractured Structures in Condensed Mathematics Rasekh, Nima Zhu, Qi Algebraic Topology Category Theory 18N60, 18B25, 18F10, 18F20, 18F60, 06E15 We construct a fractured structure, in the sense of Lurie, on the $\infty$-topos of condensed anima. This fractured structure allows us to better comprehend various properties of condensed anima - we use it to exhibit an explicit collection of jointly conservative points for condensed anima. To rule out further candidates for fractured structures, we analyze limits in the category of extremally disconnected spaces. In particular, we show that it does not admit all fibers, answering a question from Clausen. |
| title | Fractured Structures in Condensed Mathematics |
| topic | Algebraic Topology Category Theory 18N60, 18B25, 18F10, 18F20, 18F60, 06E15 |
| url | https://arxiv.org/abs/2603.09618 |