Abstract
We prove that every L Σ ( n ) -space (that is, the image of a separable metrizable space under an at most n-valued upper semicontinuous mapping) is a union of n subspaces of countable pseudocharacter and has countable tightness. In particular, every L Σ ( n ) -space has a dense set of G δ -points, and every L Σ ( n ) -topological group has countable network.
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.
