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.