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arXiv · 2403.08190

Generalized Chevalley criteria in simplicial homotopy type theory

Jonathan Weinberger
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Abstract

We provide a generalized treatment of (co)cartesian arrows, fibrations, and functors. Compared to the classical conditions, the endpoint inclusions get replaced by arbitrary shape inclusions. Our framework is Riehl--Shulman's simplicial homotopy type theory which supports the development of synthetic internal $(\infty,1)$-category theory.

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BibTeXRIS

Jonathan Weinberger. 2024-03-13. Generalized Chevalley criteria in simplicial homotopy type theory. https://arxiv.org/abs/2403.08190

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