$(\infty,n)$-Limits II: Comparison across models
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866917744436314112 |
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| author | Moser, Lyne Rovelli, Martina Rasekh, Nima |
| author_facet | Moser, Lyne Rovelli, Martina Rasekh, Nima |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $(\infty,n)$-Limits II: Comparison across models Moser, Lyne Rovelli, Martina Rasekh, Nima Algebraic Topology Category Theory 18A30, 18N65, 18A35, 18N10, 18N60, 55U35 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. |
| title | $(\infty,n)$-Limits II: Comparison across models |
| topic | Algebraic Topology Category Theory 18A30, 18N65, 18A35, 18N10, 18N60, 55U35 |
| url | https://arxiv.org/abs/2408.04742 |