Quasi-unitial Inner Kan Spaces
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 16 January 2026
- Document type
- Preprint