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arXiv · 0903.0163

The number of weakly compact convex subsets of the Hilbert space

Antonio Avilés
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Abstract

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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Antonio Avilés. 2009-03-01. The number of weakly compact convex subsets of the Hilbert space. https://arxiv.org/abs/0903.0163

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