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.