Events
DMS Set Theoretic Topology Seminar |
Time: Oct 02, 2019 (02:00 PM) |
Location: Parker Hall 246 |
Details: 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. |