Topology Proceedings 30 No. 1 (2006), pp. 417-421

On w-Boundedness of the Vietoris Hyperspace

László Zsilinszky

It is shown that the Vietoris hyperspace of a locally compact, w-bounded space is w-bounded; furthermore, a Tychonoff, w-bounded, non-normal, non-locally compact space with an w-bounded hyperspace is constructed.

Keywords: w-bounded space, Vietoris topology

Mathematics Subject Classification: 54B20 (54D20)

Document formats: PDF file 152.6 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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