Relative elegance and Cartesian cubes with one connection
Artikel i vetenskaplig tidskrift, 2025

We establish a Quillen equivalence between the Kan–Quillen model structure and a model structure, derived from a cubical model of homotopy type theory (HoTT), on the category of Cartesian cubical sets with one connection. We thereby identify a second model structure which both constructively models HoTT and presents ∞-groupoids, the first example being the equivariant Cartesian model of Awodey–Cavallo–Coquand–Riehl–Sattler.

Författare

Evan Cavallo

Chalmers, Data- och informationsteknik, Computing Science

Christian Sattler

Chalmers, Data- och informationsteknik, Computing Science

Canadian Journal of Mathematics

0008-414X (ISSN) 1496-4279 (eISSN)

Vol. 2025 1-64

Bevisteori och semantik för homotopitypteori i högre ordningens kategorier

Vetenskapsrådet (VR) (2019-03765), 2020-01-01 -- 2023-12-31.

Ämneskategorier (SSIF 2025)

Algebra och logik

DOI

10.4153/S0008414X25101466

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Senast uppdaterat

2025-10-06