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This paper explores modifications of topologies in closed n-dimensional Euclidean half-space, suggesting new properties.
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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Vitalij A. Chatyrko (2025) studied this question.
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