A note on Volterra and Baire spaces

 In Proposition 2.6 in (G‎. ‎Gruenhage‎, ‎A‎. ‎Lutzer‎, ‎Baire and Volterra spaces‎, ‎textit{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.