Chikhladze, Dimitri Separable morphisms of simplicial sets. (English) Zbl 1132.55009 J. Homotopy Relat. Struct. 1, No. 1, 169-173 (2006). The paper describes the class of separable morphisms for a Galois structure [cf. R. Brown and 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. Reviewer: Georges Hoff (Villetaneuse) MSC: 55U10 Simplicial sets and complexes in algebraic topology 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms 18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 18G55 Nonabelian homotopical algebra (MSC2010) 57M10 Covering spaces and low-dimensional topology Keywords:separable morphism; Galois structure; fibration; Kan fibration; covering map Citations:Zbl 0930.55009 PDFBibTeX XMLCite \textit{D. Chikhladze}, J. Homotopy Relat. Struct. 1, No. 1, 169--173 (2006; Zbl 1132.55009) Full Text: arXiv EuDML EMIS