Volterra Spaces are re-visited

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dc.contributor.author Cao, Jiling en
dc.contributor.author Gauld, David en
dc.date.accessioned 2009-08-28T03:22:54Z en
dc.date.available 2009-08-28T03:22:54Z en
dc.date.issued 2003-05 en
dc.identifier.citation Department of Mathematics - Research Reports-495 (2003) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri http://hdl.handle.net/2292/5131 en
dc.description.abstract 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. en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri http://www.math.auckland.ac.nz/Research/Reports/view.php?id=495 en
dc.title Volterra Spaces are re-visited en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en

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