Geodesic
Three small results on normal first countable linearly H-closed spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 221-228.

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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.
DOI : 10.14712/1213-7243.2022.013
Classification : 54D20
Keywords: linearly H-closed space; normal space; first countable space; forcing axiom 
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Baillif, Mathieu. Three small results on normal first countable linearly H-closed spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 63 (2022) no. 2, pp. 221-228. doi : 10.14712/1213-7243.2022.013. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2022.013/

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