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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.14907 |
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Table of Contents:
- We study weakly invertible cells in weak $ω$-categories in the sense of Batanin-Leinster, adopting the coinductive definition of weak invertibility. We show that weakly invertible cells in a weak $ω$-category are closed under globular pasting. Using this, we generalise elementary properties of weakly invertible cells known to hold in strict $ω$-categories to weak $ω$-categories, and show that every weak $ω$-category has a largest weak $ω$-subgroupoid.