A classification theorem for normal extensions
classification
🧮 math.CT
keywords
extensionsnormalfunctorgaloisprovetheoremclassclassification
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For a particular class of Galois structures, we prove that the normal extensions are precisely those extensions that are "locally" split epic and trivial, and we use this to prove a "Galois theorem" for normal extensions. Furthermore, we interpret the normalisation functor as a Kan extension of the trivialisation functor.
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