DMS Set Theoretic Topology Seminar

Speaker: Mark Guest

Abstract.  In 1979, van Douwen and Pfeffer introduced D-spaces and showed every finite power of the Sorgenfrey line is a D-space. Two years later, de Caux proved that every finite power of the Sorgenfrey line is hereditarily a D-space. Peng introduced the notion of transitively D-spaces in 2008, and Dauvergne demonstrated in 2016 that a transitively D-space need not be a D-space. We build on de Caux's technique to show every finite power of a GO-topology on the reals is hereditarily a transitively D-space.