Inner horns for 2-quasi-categories

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2 Citations (Scopus)

Abstract

Dimitri Ara's 2-quasi-categories, which are certain presheaves over André Joyal's 2-cell category Θ2, are an example of a concrete model that realises the abstract notion of (∞,2)-category. In this paper, we prove that the 2-quasi-categories and the fibrations into them can be characterised using the inner horn inclusions and the equivalence extensions introduced by David Oury. These maps are more tractable than the maps that Ara originally used and therefore our result can serve as a combinatorial foundation for the study of 2-quasi-categories.

Original languageEnglish
Article number107003
JournalAdvances in Mathematics
Volume363
DOIs
Publication statusPublished - Mar 25 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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