The number of weakly compact convex subsets of the Hilbert space
General Topology
2009-03-03 v1 Functional Analysis
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.
Cite
@article{arxiv.0903.0163,
title = {The number of weakly compact convex subsets of the Hilbert space},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.0163},
year = {2009}
}