DMS Set Theoretic Topology Seminar

Speaker: Professor Vladimir Tkachuk

Title: Every Lindelof Sigma-space is stable.

Abstract: We will prove that, for any Lindelof Sigma-space $X$, if $X$ has a weaker topology of weight $\kappa$, then the network weight of $X$ does not exceed $\kappa$. We will also show what happens to a Lindelof Sigma-space $X$ if all compact subsets of $X$ are small.