Abstract
In this paper, we investigate some generalizations of normality and collectionwise normality. In particular, we answer a question of Balogh and Burke by showing that if there is a collectionwise normal space that is not countably metacompact, then there is a normal ↗-collectionwise normal space that is not collectionwise normal. The proof is an application of a machine constructed by Rudin in [Fund. Math. 73 (1971) 179–186].
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.
