Symmetric weak multicategories
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918241746550784 |
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| author | Lyubashenko, Volodymyr |
| author_facet | Lyubashenko, Volodymyr |
| contents | A multicategory is what remains of a monoidal category when monoidal product is not available. A weak multicategory means that hom-sets are in fact categories, and in place of usual equations, there are natural isomorphisms, which have to satisfy their own equations. A symmetric weak multicategory implies a weak multicategory with a weak (up to a cocycle) action of symmetric groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07732 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetric weak multicategories Lyubashenko, Volodymyr Category Theory 18M65 A multicategory is what remains of a monoidal category when monoidal product is not available. A weak multicategory means that hom-sets are in fact categories, and in place of usual equations, there are natural isomorphisms, which have to satisfy their own equations. A symmetric weak multicategory implies a weak multicategory with a weak (up to a cocycle) action of symmetric groups. |
| title | Symmetric weak multicategories |
| topic | Category Theory 18M65 |
| url | https://arxiv.org/abs/2512.07732 |