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Timeline for (p,q) versus Glivenko-Cantelli

Current License: CC BY-SA 3.0

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Jun 22, 2012 at 13:47 vote accept Henry Towsner
Jun 22, 2012 at 13:47 history bounty ended Henry Towsner
Jun 19, 2012 at 21:53 comment added Henry Towsner Whether or not the convex sets form a GC class depends on the measure (I was basing the statement on "Glivenko-Cantelli Theorems for Classes of Convex Sets", which shows that they are for various measures). I guess one way to apply the (p,q) theorem would be to choose a measure for which the convex sets fail to satisfy Glivenko-Cantelli, and use that measure to construct a (p,q) family, but if that's the only way to generate (p,q) families, it doesn't address the VC dimension case, since VC sets will satisfy Glivenko-Cantelli for any measure.
Jun 19, 2012 at 16:59 history answered domotorp CC BY-SA 3.0