DMS Set Theoretic Topology Seminar

Ziqin will continue.

Title: Spaces with $\mathbb{Q}$-dominated diagonal

Abstract:  A space is dominated by $M$ if there is a $\mathcal{K}(M)$-directed compact cover, where $\mathcal{K}(M)$ is the set of compact subsets of the space $M$.   We will show that, under $\mathfrak{b}>\omega_1$, a compact space with a $\mathbb{Q}$-dominated diagonal is metrizable (where $\mathbb{Q}$ is the space of rational numbers).