In mathematics, in the field of topology, a topological space is said to be a Volterra space if any finite intersection of dense G-delta subsets is dense. Every Baire space is Volterra, but the converse is not true. In fact, any metrizable space is Volterra.
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.
Famous quotes containing the word space:
“The true gardener then brushes over the ground with slow and gentle hand, to liberate a space for breath round some favourite; but he is not thinking about destruction except incidentally. It is only the amateur like myself who becomes obsessed and rejoices with a sadistic pleasure in weeds that are big and bad enough to pull, and at last, almost forgetting the flowers altogether, turns into a Reformer.”
—Freya Stark (1893–1993)