Multiple categories of general quintets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866918209374912512 |
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| author | Grandis, Marco Paré, Robert |
| author_facet | Grandis, Marco Paré, Robert |
| contents | We construct various multiple categories, based on generalised Ehresmann quintets. The main construction is a multiple category whose objects are all the `lax' multiple categories; the transversal arrows are their strict multiple functors while the arrows in a positive direction are multiple functors of a `mixed laxity', varying from the lax ones (in direction 1) to the colax ones (in direction \infty). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiple categories of general quintets Grandis, Marco Paré, Robert Category Theory 18D05, 55U10 We construct various multiple categories, based on generalised Ehresmann quintets. The main construction is a multiple category whose objects are all the `lax' multiple categories; the transversal arrows are their strict multiple functors while the arrows in a positive direction are multiple functors of a `mixed laxity', varying from the lax ones (in direction 1) to the colax ones (in direction \infty). |
| title | Multiple categories of general quintets |
| topic | Category Theory 18D05, 55U10 |
| url | https://arxiv.org/abs/2511.15264 |