| In this paper, we study the countable compactness and pseudocompactness of the hyperspace $2^X$ of a Hausdorff space $X$ consisting of all nonempty closed subsets of $X$ equipped with the Vietoris topology. Some open questions posed by Ginsburg in 1975 are considered. In particular, we give partial solutions to one of them. |
Keywords
Countably compact, homogeneous, pseudocompact, Vietoris topology
Math Review Classification
Primary 54D20
; Secondary 03E35, 54B20
Last Updated
13 May, 2003
Length
11 pages
Availability
This article is available in: