Further Remarks On Somewhere Dense Sets | Zendy

Khadiga Arwini | Zendy; Huda Almqtouf Mira | Zendy

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Further Remarks On Somewhere Dense Sets

Author(s) -

Khadiga Arwini,

Huda Almqtouf Mira

Publication year - 2022

Publication title -

journal of pure and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 2708-8251

pISSN - 2521-9200

DOI - 10.51984/jopas.v21i1.1630

Subject(s) - linear subspace , cover (algebra) , set (abstract data type) , space (punctuation) , topological space , open set , topology (electrical circuits) , mathematics , covering space , pure mathematics , discrete mathematics , combinatorics , computer science , engineering , mechanical engineering , programming language , operating system

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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