Fundamental pushouts of n-complicial sets
Algebraic Topology
2020-05-13 v1 Category Theory
Abstract
The paper focuses on investigating how certain relations between strict -categories are preserved in a particular implementation of -categories, given by saturated -complicial sets. In this model, we show that the -categorical nerve of -categories is homotopically compatible with -categorical suspension and wedge. As an application, we show that certain pushouts encoding composition in -categories are homotopy pushouts of saturated -complicial sets.
Cite
@article{arxiv.2005.05844,
title = {Fundamental pushouts of n-complicial sets},
author = {Viktoriya Ozornova and Martina Rovelli},
journal= {arXiv preprint arXiv:2005.05844},
year = {2020}
}