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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 4, Pages 63–67
(Mi vmumm4487)
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This article is cited in 2 scientific papers (total in 2 papers)
Short notes
Continuity of the inverse in groups
E. A. Reznichenko Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We define $\Delta$-Baire spaces. If a paratopological group $G$ is $\Delta$-Baire space,
then $G$ is a topological group. Locally pseudocompact spaces, Baire $p$-spaces, Baire $\Sigma$-spaces,
products of Čech-complete spaces are $\Delta$-Baire spaces.
Key words:
paratopological groups, semi-topological groups, continuity of the inverse, Baire spaces, $\Delta$-Baire spaces.
Received: 06.09.2021
Citation:
E. A. Reznichenko, “Continuity of the inverse in groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 4, 63–67; Moscow University Mathematics Bulletin, 77:4 (2022), 199–203
Linking options:
https://www.mathnet.ru/eng/vmumm4487 https://www.mathnet.ru/eng/vmumm/y2022/i4/p63
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