When is a Volterra space Baire?
A space \(X\) is called a Volterra space if any two dense G\(_\delta\)-sets of \(X\) are dense in \(X\). As it is well-known, Baire spaces are Volterra. As for the reverse relation, Gruenhage and Lutzer proposed several problems. The authors answers them ``affirmatively'' in this paper. The main results are as follows: A Volterra space \(X\) is Baire if (1) \(X\) is a stratifiable space (Theorem 2.5), or (2) if \(X\) is a locally convex topological vector space (Theorem 3.4).
scientific article; zbMATH DE number 5123636
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