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

Mathieu Baillif

Commentationes Mathematicae Universitatis Carolinae (2022)

  • Volume: 62 63, Issue: 2, page 221-228
  • ISSN: 0010-2628

Abstract

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We use topological consequences of PFA, MA ω 1 (S)[S] and 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.

How to cite

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Baillif, Mathieu. "Three small results on normal first countable linearly H-closed spaces." Commentationes Mathematicae Universitatis Carolinae 62 63.2 (2022): 221-228. <http://eudml.org/doc/298510>.

@article{Baillif2022,
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 additional properties are compact in these models.},
author = {Baillif, Mathieu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {linearly H-closed space; normal space; first countable space; forcing axiom},
language = {eng},
number = {2},
pages = {221-228},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Three small results on normal first countable linearly H-closed spaces},
url = {http://eudml.org/doc/298510},
volume = {62 63},
year = {2022},
}

TY - JOUR
AU - Baillif, Mathieu
TI - Three small results on normal first countable linearly H-closed spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2022
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62 63
IS - 2
SP - 221
EP - 228
AB - 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 additional properties are compact in these models.
LA - eng
KW - linearly H-closed space; normal space; first countable space; forcing axiom
UR - http://eudml.org/doc/298510
ER -

References

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