The number of weakly compact convex subsets of the Hilbert space

Avilés, Antonio

The number of weakly compact convex subsets of the Hilbert space

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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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General Topology, Functional Analysis, 54B35, 52A07

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http://salesiana.dossiersoluciones.com/handle/123456789/221919

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0163
http://arxiv.org/abs/0903.0163
Topology Appl. 155, No. 15, 1720-1725 (2008)

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arXiv

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The number of weakly compact convex subsets of the Hilbert space

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