Internalizations of decorated bicategories via $π_2$-indexings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929392618307584 |
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| author | Orendain, Juan Maldonado, Ruben |
| author_facet | Orendain, Juan Maldonado, Ruben |
| contents | We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated 2-categories allowing us to formally implement arguments of sliding certain squares along vertical subdivisions in double categories. We call these structures $π_2$-indexings. We present a construction associating, to every $π_2$-indexing on a decorated 2-category, a length 1 double internalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18673 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Internalizations of decorated bicategories via $π_2$-indexings Orendain, Juan Maldonado, Ruben Category Theory We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated 2-categories allowing us to formally implement arguments of sliding certain squares along vertical subdivisions in double categories. We call these structures $π_2$-indexings. We present a construction associating, to every $π_2$-indexing on a decorated 2-category, a length 1 double internalization. |
| title | Internalizations of decorated bicategories via $π_2$-indexings |
| topic | Category Theory |
| url | https://arxiv.org/abs/2310.18673 |