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arXiv · 2509.22413

Models for rational $(\infty, 1)$-categories

Eleftherios Chatzitheodoridis
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Abstract

We introduce rational $(\infty, 1)$-categories, which are $(\infty, 1)$-categories enriched in spaces whose higher homotopy groups are rational vector spaces. We provide two models for rational $(\infty, 1)$-categories, rational complete Segal spaces and rational Segal categories, and we show that they are equivalent.

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Eleftherios Chatzitheodoridis. 2025-09-26. Models for rational $(\infty, 1)$-categories. https://arxiv.org/abs/2509.22413

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