Events

DMS Set Theoretic Topology Seminar

Time: Oct 09, 2017 (04:00 PM)
Location: Parker Hall 224

Details:

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).