V. Chatyrko

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math.GN2025

On structural numbers of topological spaces

Vitalij Chatyrko, Alexandre Karassev

Zero-dimensional structural numbers $Z_{0}^{ind}$ and $Z_{0}^{dim}$ w.r.t. dimensions $ind$ and $dim$ were introduced by Georgiou, Hattori, Megariti…

math.GN2024

On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko

In this paper we extend the construction of the Niemytzki plane to dimension $n \geq 3$ . Further, we consider a poset of topologies on the closed $n$ -dimensional Euclidean half-spa…