V. Tkachuk

activity

20152019

most citedWeakly linearly Lindelöf monotonically normal spaces are Lindelöf

2 citations · 2 across the 4 of their papers we have counts for

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math.GN2019

Scattered compact sets in continuous images of Čech-complete spaces

Taras Banakh, Bogdan Bokalo, Vladimir Tkachuk

Assume hat a functionally Hausdorff space $X$ is a continuous image of a Čech complete space $P$ with Lindelöf number $l (P) < c$ . Then the following conditions are equivale…

math.GN2016★ 2 cited

Weakly linearly Lindelöf monotonically normal spaces are Lindelöf

I. Juhász, V. V. Tkachuk, R. G. Wilson

We call a space $X$ {\it weakly linearly Lindelöf} if for any family $U$ of non-empty open subsets of $X$ of regular uncountable cardinality $κ$ , there exists a point $x\…

math.GN2015

Regular $G_{δ}$ -diagonals and some upper bounds for cardinality of topological spaces

Ivan S. Gotchev, Mikhail G. Tkachenko, Vladimir V. Tkachuk

We prove that, under CH, any space with a regular $G_{δ}$ -diagonal and caliber $ω_{1}$ is separable; a corollary of this result answers, under CH, a question of Buzyakova. For any Urys…

Scattered compact sets in continuous images of Čech-complete spaces

Weakly linearly Lindelöf monotonically normal spaces are Lindelöf

Regular Gδ​-diagonals and some upper bounds for cardinality of topological spaces

Regular $G_{δ}$ -diagonals and some upper bounds for cardinality of topological spaces