The number of weakly compact convex subsets of the Hilbert space
classification
🧮 math.GN
math.FA
keywords
compactconvexhilbertspacesubsetsweaklycardinaldensity
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We prove that for k an uncountable cardinal, there exist 2^k many non homeomorphic weakly compact convex subsets of weight k in the Hilbert space of density k.
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