arXiv Analytics

Sign in

arXiv:0903.0163 [math.GN]AbstractReferencesReviewsResources

The number of weakly compact convex subsets of the Hilbert space

Antonio Avilés

Published 2009-03-01Version 1

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.

Journal: Topology Appl. 155, No. 15, 1720-1725 (2008)
Categories: math.GN, math.FA
Subjects: 54B35, 52A07
Related articles: Most relevant | Search more
arXiv:0903.0154 [math.GN] (Published 2009-03-01)
The unit ball of the Hilbert space in its weak topology
arXiv:1706.04398 [math.GN] (Published 2017-06-14)
On closed images of remainders of the Hilbert space and transfinite dimension
arXiv:1107.1386 [math.GN] (Published 2011-07-07)
Functor of continuation in Hilbert cube and Hilbert space