Thomas Dean : Elementary Submodels in Topology I

Posted by Carl Dean , part of the Louise Hay Logic Seminar.

At

Feb. 15, 2018, 4 p.m.

In

SEO 427

Abstract

We discuss how appropriately defined elementary submodels of $H_\theta$ can be used to prove results in general topology. We prove for example a famous result by Arhangel'skii that first countable compact Hausdorff spaces have cardinality at most continuum.