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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