关于 $n$ 维 Niemytzki 空间

arXiv - MATH - General Topology Pub Date : 2024-05-04 DOI:arxiv-2405.02708

Vitalij A. Chatyrko

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引用次数: 0

摘要

在本文中，我们将尼米兹基平面的构造扩展到了3元n维，并探讨了新空间的一些性质。此外，我们还考虑了在封闭的 $n$ 维欧几里得半空间上的一个拓扑集合，它类似于 \cite{AAK}中的一个拓扑，与尼米兹基平面拓扑有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On $n$-dimensional Niemytzki spaces

In this paper we extend the construction of the Niemytzki plane to dimension $n \geq 3$ and explore some properties of the new spaces. Furthermore, 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.

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arXiv - MATH - General Topology

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