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 woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.”
—Jeanine Basinger (b. 1936)