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Galois theory in variable categories (1993)

Janelidze, George ; Schumacher, Dietmar ; Street, Ross

Springer

Applied categorical structures 1 (1993), S. 103-110

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ISSN: 1572-9095

Keywords: 18D30 ; 11R32 ; 18D35 ; 18D05 ; Variable category ; Galois group ; topos ; indexed category ; parametrized category ; homomorphism of bicategories ; effective descent ; internal category

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The order-reversing bijection between field extensions and subgroups of the Galois group G follows from the equivalence between the opposite of the category of étale algebras and the category of discrete G-spaces [2]. We show that the basic ingredient for this equivalence of categories, and for various known generalizations, is a factorization system for variable categories.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00872989

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