A homotopy coherent nerve for (∞,n)-categories

URN to cite this document:: urn:nbn:de:bvb:355-epub-578906
DOI to cite this document:: 10.5283/epub.57890

Moser, Lyne

; Rasekh, Nima

; Rovelli, Martina

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 12 Mar 2024 10:55

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Abstract

In the case of (∞, 1)-categories, the homotopy coherent nerve gives a right Quillen equivalence between the models of simplicially enriched categories and of quasi-categories. This shows that homotopy coherent diagrams of (∞, 1)-categories can equivalently be defined as functors of quasi-categories or as simplicially enriched functors out of the homotopy coherent categorifications. In this ...