Three small results on normal first countable linearly H-closed spaces

Abstract

We use topological consequences of PFA, MA${}_{{\omega }_1}$(S)[S] and PFA(S)[S] proved by other authors to show that normal first countable linearly H-closed spaces with various additionals properties are compact in these models.

6 pages

References in corpus (3)

• Notes on linearly H-closed spaces and od-selection principles
• PFA(S)[S] and the Arhangel'skii-Tall problem
• PFA(S)[S] and countably compact spaces