Galois theory in variable categories

George Janelidze*, Dietmar Schumacher, Ross Street

*Corresponding author for this work

    Research output: Contribution to journalArticle

    4 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)103-110
    Number of pages8
    JournalApplied Categorical Structures
    Issue number1
    Publication statusPublished - Mar 1993


    • effective descent
    • Galois group
    • homomorphism of bicategories
    • indexed category
    • internal category
    • Mathematics Subject Classifications (1991): 18D30, 11R32, 18D35, 18D05
    • parametrized category
    • topos
    • Variable category

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