On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko

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arXiv · 2405.02708

On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko

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Abstract

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-space similar to one from \cite{AAK} which is related to the Niemytzki plane topology. Then we explore properties of topologies from the poset.

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BibTeX RIS

Vitalij A. Chatyrko. 2024-05-04. On a modification of finite-dimensional Niemytzki spaces. https://arxiv.org/abs/2405.02708

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