Year: 2018
Type: preprint
Abstract: We give a new construction of the Joyal model structure on the category of simplicial sets, and we provide a simple characterization of the fibrations in it. We characterize the inner anodyne maps in terms of categorical equivalences and use this characterization to establish the inner model structure on the category of simplicial sets whose set of zero-simplices is equal to a fixed set $O$.
Source: arXiv (Cornell University)
Author: Stevenson, Danny
Institution: The University of Adelaide
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2897278615