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


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