|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.
Baire spaces, dense $G_delta$-sets, the Vietoris topology, Volterra spaces, weakly Volterra spaces.
Math Review Classification
Primary 26A15 ; Secondary 54C05, 54E52
13 May, 2003
This article is available in: