A NOTE ON VOLTERRA AND BAIRE SPACES

In Proposition 2.6 in (G. Gruenhage, A. Lutzer, Baire and Volterra spaces, Proc. Amer. Math. Soc. 128 (2000), no. 10, 3115-3124) a condition that every point of D is G(delta) in X was overlooked. So we proved some conditions by which a Baire space is equivalent to a Volterra space. In this note we show that if X is a monotonically normal T-1-space with countable pseudocharacter and X has a sigma-discrete dense subspace D, then X is a Baire space if and only if X is Volterra. We show that if X is a metacompact normal sequential T-1-space and X has a sigma-closed discrete dense subset, then X is a Baire space if and only if X is Volterra. If X is a generalized ordered (GO) space and has a sigma-closed discrete dense subset, then X is a Baire space if and only if X is Volterra. And also some known results are generalized.