On a modification of finite-dimensional Niemytzki spaces

In this paper we extend the construction of the Niemytzki plane to dimension n ? 3. Further, we consider a poset of topologies on the closed n-dimensional Euclidean half-space similar to one from [1] which is related to the Niemytzki plane topology. Then we explore properties of topologies from the poset.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2504213c
Citations
1
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
4.09
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article

On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko
1 citations
Filomat
Advanced Topology and Set Theory
4.09
article

On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko
article en
1 citations

Abstract

In this paper we extend the construction of the Niemytzki plane to dimension n ? 3. Further, we consider a poset of topologies on the closed n-dimensional Euclidean half-space similar to one from [1] which is related to the Niemytzki plane topology. Then we explore properties of topologies from the poset.

FilomatVol. 39(4)
Linköping University (SE)
Openalex Percentile: Top 8%
Advanced Topology and Set Theory
4.09
DOIOpen Access PDFOpenAlex
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On a modification of finite-dimensional Niemytzki spaces — Vitalij A. Chatyrko · Filomat (2025) | TGRS Research Map | TGRS