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almost purity
Generally, purity means something happens in a particular codimension. A foundational result for perfectoid spaces. Reminiscent of Zariski–Nagata’s purity theorem: the branch locus on a nonsingular algebraic variety, the branch locus (where the morphism ramifies) is a Weil divisor, i.e. is comprised purely of codimension 1 subvarieties. This describes the locus on which a morphism can fail to be etale.
