Cardinal Invariants for the $G_{\hat{I}}´$ topology

Abstract

We prove upper bounds for the spread, the Lindelöf number and the weak Lindelöf number of the $G_{\hat{I}}´$-topology on a topological space and apply a few of our bounds to give a short proof to a recent result of Juhász and van Mill regarding the cardinality of a $\ddot{I}ƒ$-countably tight homogeneous compactum.