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Extended Galois Theory And Dissonant Morphisms
"... For a given Galois structure on a category C and an effective descent morphism p : E!B in C we describe the category of so-called weakly split objects over (E; p) in terms of internal actions of the Galois (pre)groupoid of (E; p) with an additional structure. We explain that this generates various ..."
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For a given Galois structure on a category C and an effective descent morphism p : E!B in C we describe the category of so-called weakly split objects over (E; p) in terms of internal actions of the Galois (pre)groupoid of (E; p) with an additional structure. We explain that this generates various known results in categorical Galois theory and in particular two results of M. Barr and R. Diaconescu [BD]. We also give an elaborate list of examples and applications.
Journal of Homotopy and Related Structures, vol. 1(1), 2006, pp.1–5 SEPARABLE MORPHISMS OF SIMPLICIAL SETS
, 2006
"... (communicated by George Janelidze) We show that the class of separable morphisms in the sense of G. Janelidze and W. Tholen in the case of Galois structure ..."
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(communicated by George Janelidze) We show that the class of separable morphisms in the sense of G. Janelidze and W. Tholen in the case of Galois structure
