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math.CT2002
On the representation theory of Galois and Atomic Topoi
Eduardo J. Dubuc
We elaborate on the representation theorems of topoi as topoi of discrete actions of various kinds of localic groups and groupoids. We introduce the concept of "proessential point"…
math.CT2000
Localic Galois Theory
Eduardo J. Dubuc
In Proposition I of "Memoire sur les conditions de resolubilite des equations par radicaux", Galois established that any intermediate extension of the splitting field of a polynomi…
math.CT2000
On the Galois Theory of Grothendieck
E. J. Dubuc, C. Sanchez de la Vega
In this paper we deal with Grothendieck's interpretation of Artin's interpretation of Galois's Galois Theory (and its natural relation with the fundamental group and the theory of…