Representing the language of a topos as quotient of the category of spans
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912627287916544 |
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| author | Golshani, M. Langari, A. Shiralinasab |
| author_facet | Golshani, M. Langari, A. Shiralinasab |
| contents | We use quotients of span categories to introduce the language of a topos. We also study the logical relations and the quotients of span categories derived from them. As an application we show that the category of Boolean toposes is a reflective subcategory of the category of toposes, when the morphisms are logical functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09551 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Representing the language of a topos as quotient of the category of spans Golshani, M. Langari, A. Shiralinasab Category Theory We use quotients of span categories to introduce the language of a topos. We also study the logical relations and the quotients of span categories derived from them. As an application we show that the category of Boolean toposes is a reflective subcategory of the category of toposes, when the morphisms are logical functors. |
| title | Representing the language of a topos as quotient of the category of spans |
| topic | Category Theory |
| url | https://arxiv.org/abs/2201.09551 |