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pro vyhledávání: '"Oleksandr Ravsky"'
Autor:
Oleksandr Ravsky, Oleg Gutik
Publikováno v:
Journal of Mathematical Sciences. 223:18-38
In the present paper, we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, ω -boundedness, totally countable compactness, countable pracompactness, sequential pseudocompactness) by Tychonoff products
Autor:
Oleksandr Ravsky, Oleg Gutik
Publikováno v:
Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna.
We prove that any topological group $G$ containing a subspace $X$ of the Sorgenfrey line has spread $s(G)\ge s(X\times X)$. Under OCA, each topological group containing an uncountable subspace of the Sorgenfrey line has uncountable spread. This impli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d4231879c2a040a3648f3673922bbad
http://arxiv.org/abs/1901.10727
http://arxiv.org/abs/1901.10727
Given a $G$-space $X$ and a non-trivial $G$-invariant ideal $I$ of subsets of $X$, we prove that for every partition $X=A_1\cup\dots\cup A_n$ of $X$ into $n\ge 2$ pieces there is a piece $A_i$ of the partition and a finite set $F\subset G$ of cardina
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d991a5d1b172d44e8e21a53c84040c64
http://arxiv.org/abs/1303.1427
http://arxiv.org/abs/1303.1427
Autor:
Oleksandr Ravsky, Oleg Gutik
We study the structure of inverse primitive feebly compact semitopological and topological semigroups. We find conditions when the maximal subgroup of an inverse primitive feebly compact semitopological semigroup $S$ is a closed subset of $S$ and des
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::472b7120a367c9cee07c44ac02184141