DMS Set Theoretic Topology Seminar

Speaker: Professor Vladimir Tkachuk

Title: Every product of Lindelof Sigma-spaces is factorizable.

Abstract: In the last lecture we established that a Lindelof space is factorizable in every product. The purpose of this lecture is to show that any product of Lindelof Sigma-spaces is factorizable. As an intermediate step in this direction, we will prove that the \(\sigma\)-product of Lindelof Sigma-spaces is Lindelof; this will imply that both \(\sigma\)-product and \(\Sigma\)-product of Lindelof Sigma-spaces are factorizable.