Title: Moore Space Baireability and Dense Metric Subspaces

Speaker(s): David Fearnley

Abstract: We will discuss conditions under which a Moore space may be densely embedded into a Moore space with the Baire property (which we refer to as being Baireable), and present some recently developed tools for determining when a space is Baireable. We will also include an example of a space which is not Baireable, every subset of which can be shown to be Baireable if and only if it has a $\sigma$-discrete $\pi$-base using the aforementioned strategies, and use this to highlight the motivation behind two unresolved questions.