Separable morphisms of simplicial sets (Q2381411)

The paper describes the class of separable morphisms for a Galois structure [cf. \textit{R. Brown} and \textit{G. Janelidze}, J. Pure Appl. Algebra 135, No. 1, 23--31 (1999; Zbl 0930.55009)]. This one, together with an adjunction of functors, considers classes of morphisms called fibrations. Separable morphisms are particular fibrations. The main result states that separable morphisms arc exactly the Kan fibrations which are covering maps of simplicial sets.