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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 1, Pages 65–67
(Mi vmumm4452)
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Short notes
Weak normality forms outside of a diagonal
A. P. Kombarov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In some model of ZFC, it is proved that regular $F_\sigma$-paranormal off of the diagonal countably compact spaces are first countable and compact.
Key words:
normality, countable paracompactness, paranormality, $F_\sigma$-paranormality, topological properties off of the diagonal, free sequence, first axiom of countability.
Received: 23.04.2021
Citation:
A. P. Kombarov, “Weak normality forms outside of a diagonal”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 1, 65–67; Moscow University Mathematics Bulletin, 77:1 (2022), 46–48
Linking options:
https://www.mathnet.ru/eng/vmumm4452 https://www.mathnet.ru/eng/vmumm/y2022/i1/p65
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