Place: Fields Institute, Room 210

Date and time: Friday 27 February 2015 (13:30-15:00)

Speaker: Frank Tall

Title: Some observations on the Baireness of C_k(X) for a locally compact space X

Abstract: The area in-between Empty not having a winning strategy and Nonempty having a winning strategy in the Banach-Mazur game has attracted interest for many decades. We answer some questions Marion Scheepers asked when he was here last year, and also prove results related to his recent paper with Galvin and to a paper of Gruenhage and Ma. Our tools include PFA(S)[S] and non-reflecting stationary sets.