Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
