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arXiv · 2404.14509

A model for the coherent walking $\omega$-equivalence

Amar Hadzihasanovic·Félix Loubaton·Viktoriya Ozornova·Martina Rovelli
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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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Amar Hadzihasanovic, Félix Loubaton, Viktoriya Ozornova, Martina Rovelli. 2024-04-22. A model for the coherent walking $\omega$-equivalence. https://arxiv.org/abs/2404.14509

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