Quasi-unitial Inner Kan Spaces
Algebraic Topology
2026-01-19 v1
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 -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.
Cite
@article{arxiv.2601.11489,
title = {Quasi-unitial Inner Kan Spaces},
author = {Trygve Poppe Oldervoll},
journal= {arXiv preprint arXiv:2601.11489},
year = {2026}
}