In mathematics

Mathematics

Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, in the field of topology

Topology

Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...

, a topological space

Topological space

Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion...

 is said to be a Volterra space if any finite intersection of dense

Dense set

In topology and related areas of mathematics, a subset A of a topological space X is called dense if any point x in X belongs to A or is a limit point of A...

 G-delta subsets is dense. Every Baire space

Baire space

In mathematics, a Baire space is a topological space which, intuitively speaking, is very large and has "enough" points for certain limit processes. It is named in honor of René-Louis Baire who introduced the concept.- Motivation :...

 is Volterra, but the converse is not true.
In fact, any metrizable space is Volterra.

The name refers to a paper of Vito Volterra

Vito Volterra

Vito Volterra was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations....

  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.