Weakly invertible cells in a weak $\omega$-category
| Autor: | Fujii, Soichiro, Hoshino, Keisuke, Maehara, Yuki |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Higher Structures 8(2):386-415, 2024 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21136/HS.2024.14 |
| Popis: | We study weakly invertible cells in weak $\omega$-categories in the sense of Batanin-Leinster, adopting the coinductive definition of weak invertibility. We show that weakly invertible cells in a weak $\omega$-category are closed under globular pasting. Using this, we generalise elementary properties of weakly invertible cells known to hold in strict $\omega$-categories to weak $\omega$-categories, and show that every weak $\omega$-category has a largest weak $\omega$-subgroupoid. Comment: 21 pages. Published version. Comments welcome! |
| Databáze: | arXiv |
| Externí odkaz: |
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