Models for rational $(\infty, 1)$-categories
Algebraic Topology
2025-11-12 v2 Category Theory
Abstract
We introduce rational -categories, which are -categories enriched in spaces whose higher homotopy groups are rational vector spaces. We provide two models for rational -categories, rational complete Segal spaces and rational Segal categories, and we show that they are equivalent.
Cite
@article{arxiv.2509.22413,
title = {Models for rational $(\infty, 1)$-categories},
author = {Eleftherios Chatzitheodoridis},
journal= {arXiv preprint arXiv:2509.22413},
year = {2025}
}
Comments
12 pages; changed exposition to include enrichment in more general localizations of spaces