Equivalence of cubical and simplicial approaches to \((\infty, n)\)-categories

DOI10.1016/j.aim.2023.108902OpenAlexW4319999514MaRDI QIDQ2687342

Krzysztof Kapulkin, Brandon Doherty, Yuki Maehara

Publication date: 2 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09428

zbMATH Keywords

model structureQuillen equivalencecubical setcomplicial set\((\infty, n)\)-category

Mathematics Subject Classification ID

Homological algebra in category theory, derived categories and functors (18Gxx) Categorical structures (18Dxx) Applied homological algebra and category theory in algebraic topology (55Uxx)

Related Items (3)

Cubical models of higher categories without connections ⋮ Discreteness and completeness for \(\Theta_n\)-models of \((\infty, n)\)-categories ⋮ What is an equivalence in a higher category?

Cites Work

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• The theory and practice of Reedy categories
• Elements of ∞-Category Theory
• A cubical approach to straightening
• Varieties of Cubical Sets
• Complicial sets characterising the simplicial nerves of strict 𝜔-categories
• Cubical models of higher categories without connections

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