Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658711 | Topology and its Applications | 2014 | 7 Pages |
Abstract
It is proved that no non-meager subspace of the space [Ï]Ï 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 âFâ² has the Baire property (relatively) for every subfamily Fâ²âF. Some remarks concerning continuous restrictions of functions with domain in the Ellentuck space are made.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Ryszard Frankiewicz, SÅawomir Szczepaniak,