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:
“In the United States there is more space where nobody is is than where anybody is.”
—Gertrude Stein (1874–1946)