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arXiv · 2601.11489

Quasi-unitial Inner Kan Spaces

Trygve Poppe Oldervoll
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Abstract

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.

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Trygve Poppe Oldervoll. 2026-01-16. Quasi-unitial Inner Kan Spaces. https://arxiv.org/abs/2601.11489

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