  It is shown that the known notion of selective coideal can be extended to a
family $\mathcal{H}$ of subsets of $\mathcal{R}$, where $(\mathcal{R},\leq,r)$
is a topological Ramsey space in the sense of Todorcevic (see \cite{todo}).
Then it is proven that, if $\mathcal{H}$ selective, the $\mathcal{H}$-Ramsey
and $\mathcal{H}$-Baire subsets of $\mathcal{R}$ are equivalent. This extends
the results of Farah in \cite{farah} for semiselective coideals of
$\mathbb{N}$. Also, it is proven that the family of ${\cal H}$--Ramsey subsets
of ${\cal R}$ is closed under the Souslin operation.
