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.