Topology and Geometry Seminar

Title: A Namioka-type Characterization of Baire Spaces

Speaker: Russ Waller

Abstract: A result by Jean Calbrix and Jean-Pierre Troallic demonstrates that Baire spaces are weakly Namioka. Zibigniew Piotrowski asks whether the converse holds as well. This talk shows that for separable spaces and perfectly normal (thus metrizable) spaces, weakly Namioka implies Baire. An example is provided to show the necessity of these conditions.