Abstract: We use topological consequences of {\sf PFA}, {\sf MA_{\omega_1}(S)[S]} and {\sf PFA(S)[S]} proved by other authors to show that normal first countable linearly H-closed spaces with various additional properties are compact in these models.
Keywords: linearly H-closed space; normal space; first countable space; forcing axiom
DOI: DOI 10.14712/1213-7243.2022.013
AMS Subject Classification: 54D20