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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.11489 |
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| _version_ | 1866914259419529216 |
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| author | Oldervoll, Trygve Poppe |
| author_facet | Oldervoll, Trygve Poppe |
| contents | We show that semi-simplicial spaces that i) admit inner horn fillers up to homotopy and ii) possess units in a weak sense provide a viable model for $\infty$-categories. The existence of units can be expressed through various quasi-unitality conditions, and we compare the natural generalization of three such conditions found in the literature. This work is motivated by applications in Floer homotopy theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11489 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasi-unitial Inner Kan Spaces Oldervoll, Trygve Poppe Algebraic Topology We show that semi-simplicial spaces that i) admit inner horn fillers up to homotopy and ii) possess units in a weak sense provide a viable model for $\infty$-categories. The existence of units can be expressed through various quasi-unitality conditions, and we compare the natural generalization of three such conditions found in the literature. This work is motivated by applications in Floer homotopy theory. |
| title | Quasi-unitial Inner Kan Spaces |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2601.11489 |