Further Remarks On Somewhere Dense Sets
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Topological space and generalizations, somewhere dense sets, subspaces, covers, cardinality, equavialent relation
Abstract
In this article, we prove that a topological space X is strongly hyperconnected iff any somewhere dense set in X is open, in addition we investigate some conditions that make sets somewhere dense in subspaces, finally, we show that any topological space defined on infinite set X has SD-cover with no proper subcover.
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References
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