| In this paper, we investigate weakly Volterra spaces and relevant topological properties. New characterizations of weakly Volterra spaces are provided. An analogy of the well-known Banach category theorem in terms of Volterra properties is achieved. It is shown that every weakly Volterra homogeneous space is Volterra, and there exists a metrizable Baire space whose hyperspace of nonempty compact subsets endowed with the Vietoris topology is not weakly Volterra. |
Keywords
Baire spaces, dense $G_delta$-sets, the Vietoris topology, Volterra spaces, weakly Volterra spaces.
Math Review Classification
Primary 26A15
; Secondary 54C05, 54E52
Last Updated
13 May, 2003
Length
11 pages
Availability
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