Yaryna Stelmakh

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20172020

most citedThe Kirch space is topologically rigid

5 citations · 5 across the 4 of their papers we have counts for

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math.GN2020

Homeomorphisms of the space of non-zero integers with the Kirch topology

Yaryna Stelmakh

The $G o l o mb$ (resp. $K i r c h$ ) topology on the set $Z^{∙}$ of nonzero integers is generated by the base consisting of arithmetic progressions $a+b\mathbb Z=\{a+bn:n\in\ma…

math.GN2020★ 5 cited

The Kirch space is topologically rigid

Taras Banakh, Yaryna Stelmakh, Sławomir Turek

The $G o l o mb$ $s p a ce$ (resp. the $K i r c h$ $s p a ce$ ) is the set $N$ of positive integers endowed with the topology generated by the base consisting of arithmetic progressions $…

math.GN2020

A universal coregular countable second-countable space

Taras Banakh, Yaryna Stelmakh

A Hausdorff topological space $X$ is called $superconnected$ (resp. $coregular$ ) if for any nonempty open sets $U_{1}, \dots U_{n} \subseteq X$ , the intersection of the…

math.GN2019

The cometrizability of generalized metric spaces

Taras Banakh, Yaryna Stelmakh

A topological space $X$ is cometrizable if it admits a weaker metrizable topology such that each point $x \in X$ has a (not necessarily open) neighborhood base consisting of metrica…

math.GN2017

The connected countable spaces of Bing and Ritter are topologically homogeneous

Iryna Banakh, Taras Banakh, Olena Hryniv +1

Answering a problem posed by the second author on Mathoverflow, we prove that the connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous.