A criterion to specify the absence of Baire property
  Let $X$ be a topological space. Let $X_0 \subseteq X$ be a second countable subspace. Also, assume that $X$ is first countable at any point of $X_0$. Then we provide some conditions under which we ensure that $X_0$ is not Baire. 
Mehdi Pourbarat and Neda Abbasi
math.GN