On partitions of Ellentuck-large sets

It is proved that no non-meager subspace of the space $[\omega {]}^{\omega }$ equipped with the Ellentuck topology does admit a Kuratowski partition, that is such a subset cannot be covered by a family $\mathfrak{F}$ of disjoint relatively meager sets such that $\bigcup {\mathfrak{F}}^{\mathrm{\prime }}$ has the Baire property (relatively) for every subfamily ${\mathfrak{F}}^{\mathrm{\prime }}\subseteq \mathfrak{F}$. It is also shown that the existence of Kuratowski partitions is not a metric problem. Some remarks concerning continuous restrictions of functions with domain in the Ellentuck space are made.