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Feb 9, 2013 at 21:57 comment added Will Sawin e.g. if a property holds on every sufficiently small neighborhood of a point, it usually holds on the local ring.
Feb 9, 2013 at 21:39 comment added Martin Brandenburg What do you mean by "behaves scheme-theoretically like an open subset."?
Feb 9, 2013 at 21:14 history answered Will Sawin CC BY-SA 3.0