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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2407.13448 |
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| _version_ | 1866913873387323392 |
|---|---|
| author | Kanalas, Kristóf |
| author_facet | Kanalas, Kristóf |
| contents | We prove that $i)$ if $\mathcal{A}$ is $λ$-accessible and it is axiomatizable in (finitary) coherent logic then $λ$-pure maps are strict monomorphisms and $ii)$ if there is a proper class of strongly compact cardinals and $\mathcal{A}$ is $λ$-accessible then for some $μ\vartriangleright λ$ every $μ$-pure map is a strict monomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pure maps are strict monomorphisms Kanalas, Kristóf Category Theory Logic We prove that $i)$ if $\mathcal{A}$ is $λ$-accessible and it is axiomatizable in (finitary) coherent logic then $λ$-pure maps are strict monomorphisms and $ii)$ if there is a proper class of strongly compact cardinals and $\mathcal{A}$ is $λ$-accessible then for some $μ\vartriangleright λ$ every $μ$-pure map is a strict monomorphism. |
| title | Pure maps are strict monomorphisms |
| topic | Category Theory Logic |
| url | https://arxiv.org/abs/2407.13448 |