Abstract
In recent papers, B. Å apirovskiÄ, R. Pol, and R. E. Hodel have used a transfinite construction technique of Å apirovskiÄ to provide a unified treatment of fundamental inequalities in the theory of cardinal functions. Å apirovskiÄâs technique is used in this paper to establish an inequality whose countable version states that the continuum is an upper bound for the cardinality of any Lindelöf space having countable pseudocharacter and a point-continuum separating open cover. In addition, the unified treatment is extended to include a recent theorem of Å apirovskiÄ concerning the cardinality of ${T_3}$ spaces.
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.
