Barr, Michael Abstract Galois theory. (English) Zbl 0441.18007 J. Pure Appl. Algebra 19, 21-42 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 7 Documents MSC: 18A99 General theory of categories and functors 13B05 Galois theory and commutative ring extensions 16W20 Automorphisms and endomorphisms 55Q05 Homotopy groups, general; sets of homotopy classes 18B30 Categories of topological spaces and continuous mappings (MSC2010) 16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms 20E18 Limits, profinite groups 18B25 Topoi Keywords:abstract Galois theory; strongly separable algebras; profinite group; G- sets; G-equivariant mappings; category of commutative, connected strongly separable extensions of a commutative connected ring; category of finite coverings of a connected topological space; category of finite coverings of a connected simplicial complex; separable closure PDFBibTeX XMLCite \textit{M. Barr}, J. Pure Appl. Algebra 19, 21--42 (1980; Zbl 0441.18007) Full Text: DOI References: [1] Bourbaki, N., Commutative Algebra (1972), Addison Wesley: Addison Wesley Reading, MA [2] Chase, S. U.; Harrison, D. K.; Rosenberg, A., Galois theory and cohomology of commutative rings, Mem. Amer. Math. Soc., 52, 15-33 (1965) · Zbl 0143.05902 [3] Grothendieck, A., Revêtements étales et groupe fondamental, (Springer Lecture Notes in Math., 224 (1971), Springer-Verlag: Springer-Verlag Berlin), (SGA1) · Zbl 1039.14001 [4] Janusz, G. J., Separable algebras over commutative rings, Trans. Amer. Math. Soc., 122, 461-479 (1966) · Zbl 0141.03402 [5] Johnstone, P. T., Topos Theory (1977), Academic Press: Academic Press New York · Zbl 0368.18001 [6] Kelly, G. M., Monomorphisms, epimorphisms and pullbacks, J. Austral. Math. Soc., 9, 124-142 (1969) · Zbl 0169.32604 [7] Lubkin, S., Theory of covering spaces, Trans. Amer. Math. Soc., 104, 204-238 (1962) · Zbl 0133.16303 [8] Rotman, J. J., Covering complexes with applications to algebra, Rocky Mountain J. Math., 4, 641-674 (1973) · Zbl 0272.55003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.