# Pitt Topology Seminar

Pitt Topology Seminar

Friday April 29 at 11am EDT

Zoom Meeting: https://pitt.zoom.us/j/95465740077

Meeting Id: 954 657 40077

Speaker: Chris Caruvana (Indiana University Kokomo)

Title: Star Selection Games and the Pixley-Roy Hyperspace

Abstract:

We will show that the star-Menger/Rothberger game on the Pixley-Roy hyperspace of a regular space $X$ carries winning information for Player Two to the $\omega$-Menger/Rothberger game on $X$. We will also give an example that this translation of winning information cannot reverse. As an intermediate step, we will show that every compact set of a regular space can be written as the intersection of $\kappa$-many open sets where $\kappa$ is the star-Lindel{\"{o}}f degree of the Pixley-Roy hyperspace of $X$.

April 29, 2022 - 11:00am