Internal Categories in a Left Exact Cosimplicial Category |
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| Authors: | Pataraia D. |
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| Affiliation: | (1) Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi, 380093, Georgia |
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| Abstract: | The notion of an internal category in a left exact cosimplicial category is introduced. For any topos over sets a certain left exact cosimplicial category is constructed functorially and the category of internal categories in it is investigated. The notion of a fundamental group is defined for toposes admitting the notion of  a discrete category. |
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| Keywords: | Topos fundamental group cosimplicial category |
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