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A model for the coherent walking $ω$-equivalence

Published 22 Apr 2024 in math.CT and math.AT | (2404.14509v1)

Abstract: We prove that a certain $\omega$-category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking $\omega$-equivalence. Further, appropriate truncations of it give models for the fully coherent walking $n$-equivalence for each $n\geq1$.

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