Baire property in the ordinary infinite-subset topology
= Baire property in the ordinary infinite-subset topology
{c}
{title2=$Y\triangle O\text{ is }\tau\text{-meagre}$}
A family $Y\subseteq[\mathbb N]^\omega$ is $\tau$-Baire when $Y\triangle O$ is <meagre> for some ordinarily open family $O$. This is weaker than the corresponding regularity in the <star topology>. A <meagre set meeting every Ramsey cone in both colours> has the ordinary Baire property while failing to be a <Ramsey set of infinite subsets>.