Calculus of Fractions for Quasicategories
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911107813212160 |
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| author | Carranza, Daniel Kapulkin, Chris Lindsey, Zachery |
| author_facet | Carranza, Daniel Kapulkin, Chris Lindsey, Zachery |
| contents | We describe a generalization of Gabriel and Zisman's Calculus of Fractions to quasicategories, showing that the two essentially coincide for the nerve of a category. We then prove that the marked Ex-functor can be used to compute the localization of a marked quasicategory satisfying our condition and that the appropriate (co)completeness properties of the quasicategory carry over to its localization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02218 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calculus of Fractions for Quasicategories Carranza, Daniel Kapulkin, Chris Lindsey, Zachery Algebraic Topology Combinatorics Category Theory 18N55, 18N60, 18N40, 55U35, 18N50 We describe a generalization of Gabriel and Zisman's Calculus of Fractions to quasicategories, showing that the two essentially coincide for the nerve of a category. We then prove that the marked Ex-functor can be used to compute the localization of a marked quasicategory satisfying our condition and that the appropriate (co)completeness properties of the quasicategory carry over to its localization. |
| title | Calculus of Fractions for Quasicategories |
| topic | Algebraic Topology Combinatorics Category Theory 18N55, 18N60, 18N40, 55U35, 18N50 |
| url | https://arxiv.org/abs/2306.02218 |