$(\infty,n)$-Limits II: Comparison across models
| Autor: | Moser, Lyne, Rovelli, Martina, Rasekh, Nima |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that the notion of $(\infty,n)$-limit defined using the enriched approach and the one defined using the internal approach coincide. We also give explicit constructions of various double $(\infty,n-1)$-categories implementing various join constructions, slice constructions and cone constructions, and study their properties. We further prove that key examples of $(\infty,n)$-categories are (co)complete. Comment: 45 pages; comments welcome |
| Databáze: | arXiv |
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