DMS Set Theoretic Topology Seminar

Title: The square of any Lindelof Sigma-space  has large discrete subspaces

Abstract: After finishing the proof of Uspensky’s theorem  (in which only  the cross-star property of compact spaces is missing), I will present a generalization of a Juhasz-Szentmiklossy theorem. Juhasz and Szentmiklossy proved that, for any compact space X, there is a discrete subset D in XxX of cardinality equal to d(X). I will show that the same is true for Lindelof  Sigma-spaces.