On a modification of finite-dimensional Niemytzki spaces
General Topology
2024-11-19 v3
Abstract
In this paper we extend the construction of the Niemytzki plane to dimension . Further, we consider a poset of topologies on the closed -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.
Cite
@article{arxiv.2405.02708,
title = {On a modification of finite-dimensional Niemytzki spaces},
author = {Vitalij A. Chatyrko},
journal= {arXiv preprint arXiv:2405.02708},
year = {2024}
}