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A simplified categorical approach to several Galois theories
Published 28 May 2018 in math.DG, math.CT, and math.RA | (1805.11062v4)
Abstract: We discuss the concept of Galois structure and Galois epimorphism in a general setting. Namely, a Galois structure for an epimorphism $\pi\colon M\to B$ in some category ${\mathcal C}$ is the action of a group object that gives to $M$ the structure of principal homogeneous space in the relative category ${\mathcal C}_B$.
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