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We discuss the concept of Galois structure and Galois epimorphism in a general setting. Namely, a Galois structure for an epimorphism π M→ B in some category C is the action of a group object that gives to M the structure of principal homogeneous space in the relative category C_B.arXiv:1805.11062v4 fatcat:f3ookavunfh7vjh3c6fm2p2yvq