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About: Volterra space     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPropertiesOfTopologicalSpaces, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatTopologicalSpacesyago:Abstraction100002137yago:Attribute100024264yago:MathematicalSpace108001685yago:Possession100032613yago:Property113244109yago:Relation100031921yago:Set107999699yago:Space100028651yago:WikicatPropertiesOfTopologicalSpaces New Facet based on Instances of this Class

In mathematics, in the field of topology, a topological space is said to be a Volterra space if any finite intersection of dense Gδ subsets is dense. Every Baire space is Volterra, but the converse is not true. In fact, any metrizable Volterra space is Baire. The name refers to a paper of Vito Volterra in which he uses the fact that (in modern notation) the intersection of two dense G-delta sets in the real numbers is again dense.