Every theory is eventually of presheaf type
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_ | 1866910944143081472 |
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| author | Espíndola, Christian Kanalas, Kristóf |
| author_facet | Espíndola, Christian Kanalas, Kristóf |
| contents | We give a detailed and self-contained introduction to the theory of $λ$-toposes and prove the following: 1) A $λ$-separable $λ$-topos has enough $λ$-points. 2) The classifying $λ$-topos of a $κ$-site $(\mathcal{C},E)$ is a presheaf topos (assuming $κ\vartriangleleft λ=λ^{<λ}$, $|\mathcal{C}|,|E|<λ$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12356 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Every theory is eventually of presheaf type Espíndola, Christian Kanalas, Kristóf Category Theory We give a detailed and self-contained introduction to the theory of $λ$-toposes and prove the following: 1) A $λ$-separable $λ$-topos has enough $λ$-points. 2) The classifying $λ$-topos of a $κ$-site $(\mathcal{C},E)$ is a presheaf topos (assuming $κ\vartriangleleft λ=λ^{<λ}$, $|\mathcal{C}|,|E|<λ$). |
| title | Every theory is eventually of presheaf type |
| topic | Category Theory |
| url | https://arxiv.org/abs/2312.12356 |