On partitions of Ellentuck-large sets

It is proved that no non-meager subspace of the space [ ω ] ω equipped with the Ellentuck topology does admit a Kuratowski partition, that is such a subset cannot be covered by a family F of disjoint relatively meager sets such that ⋃ F ′ has the Baire property (relatively) for every subfamily F ′ ⊆ F . Some remarks concerning continuous restrictions of functions with domain in the Ellentuck space are made.