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- W3100510067 abstract "For each $n geq -1$, a quasi-category is said to be $n$-truncated if its hom-spaces are $(n-1)$-types. In this paper we study the model structure for $n$-truncated quasi-categories, which we prove can be constructed as the Bousfield localisation of Joyal's model structure for quasi-categories with respect to the boundary inclusion of the $(n+2)$-simplex. Furthermore, we prove the expected Quillen equivalences between categories and $1$-truncated quasi-categories and between $n$-truncated quasi-categories and Rezk's $(n,1)$-$Theta$-spaces." @default.
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- W3100510067 date "2020-01-01" @default.
- W3100510067 modified "2023-09-25" @default.
- W3100510067 title "On truncated quasi-categories" @default.
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