On the Baire space of ${\omega }_1$-strongly compact weight

Ana S. Meroño

We prove that on the Baire space $(D^{\kappa },\pi )$, $\kappa \ge {\omega }_0$ where $D$ is a uniformly discrete space having ${\omega }_1$-strongly compact cardinal and $\pi$ denotes the product uniformity on $D^…