DMS Set Theoretic Topology Seminar

Title: Character and tightness are discretely reflexive in compact spaces.

Abstract: We will show that tightness, character, sequentiality, and Frechet-Urysohn property are discretely reflexive in compact spaces, i.e., if \(X\) is a compact space in which the closure of every discrete subset has a property \(P\) from the list  \(tightness \leq \kappa, character\leq\kappa, sequentiality, Frechet-Urysohn property\), then \(X\) has the property \(P\).