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Journal Article

Nerves and cones of free loop-free ω-categories

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Ozornova,  Viktoriya
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Gagna, A., Ozornova, V., & Rovelli, M. (2023). Nerves and cones of free loop-free ω-categories. Tunisian Journal of Mathematics, 5(2), 273-326. doi:10.2140/tunis.2023.5.273.


Cite as: https://hdl.handle.net/21.11116/0000-000D-7B89-F
Abstract
We show that the complicial nerve construction is homotopically compatible with two flavors of cone constructions when starting with an ω-category that is suitably free and loop-free. An instance of the result recovers the fact that the standard m-simplex is equivalent to the complicial nerve of the m-oriental