3.8 Article

More notions and mappings via somewhere dense sets

期刊

AFRIKA MATEMATIKA
卷 30, 期 7-8, 页码 1011-1024

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SPRINGER HEIDELBERG
DOI: 10.1007/s13370-019-00700-4

关键词

Somewhere dense set; S-limit point; SD-continuous map; Topological space

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In this paper, the authors continue studying more properties of somewhere dense sets. They derive some interesting results related to them such as the collection of all somewhere dense subsets of a strongly hyperconnected space (X, tau) forms a filter on X, and a topological space which contains at least two disjoint somewhere dense sets is an ST1-space. Then they introduce and study a concept of S-limit points of a soft set. Depending on somewhere dense and cs-dense sets, they also define and investigate various maps between topological spaces, namely SD-continuous, SD-irresolute, SD-open, SD-closed and SD-homeomorphism maps.

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