COSAM » Events » 2015 » September » Set Theoretic Topology Seminar

 Set Theoretic Topology Seminar Time: Sep 14, 2015 (03:00 PM) Location: Parker Hall 246(?) Details: Speaker: Steven Clontz ('15), University of North Carolina at Charlotte Steven will talk about a couple of topological games he has been considering.  Abstract: A space $$X$$ has selective separability if given $$D_n$$ dense in $$X$$ for $$n<\omega$$, there exist finite subsets $$E_n\subseteq D_n$$ such that $$\bigcup_{n<\omega} E_n$$ is a dense subset of $$X$$. Barman and Dow first studied the natural game theoretic analogue, giving a positive solution for countable spaces to a question of Gruenhage: may a perfect information strategy in this game always be improved to a Markov information (latest move and round number) strategy? Clontz will discuss results due to Arhangel'skii, Barman, and Dow connecting this game to the Menger game and a game concerning countable fan tightness, and how these results may shed some light on the general question. FOR PDF, click here For stream, click here

Last updated: 09/15/2015