In this paper we prove a stability result for inner fibrations in terms of the wide, or fat join operation on simplicial sets. We also prove some additional results on inner anodyne morphisms that may be of independent interest.
Keywords: $\infty$-categories, joins of simplicial sets, inner anodyne morphisms, cocartesian fibrations
2010 MSC: 55U10
Theory and Applications of Categories, Vol. 33, 2018, No. 19, pp 523-536.