Abstract
This chapter discusses separating closed discrete collections of singular cardinality. P(k,A) is the set of subsets of A of cardinality less than k. A collection Y of points in a topological space X is closed discrete if every x ɛ X has a neighborhood containing at most one point of Y. A space X is λcwH if every closed discrete collection of cardinality less than A can be simultaneously separated by disjoint open sets. A space X has character k, abbreviated x(X) = k, if every point has a neighborhood base indexed by k. A space X has local cellularity k, lc(X> = k, if every point has a neighborhood containing at most k disjoint open sets.
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.
