Open AccessFurther Remarks On Somewhere Dense Sets
Author(s) -
Khadiga Arwini,
Khadiga Arwini
Publication year - 2022
Publication title -
mağallaẗ al-ʿulūm al-baḥṯaẗ wa-al-taṭbīqiyyaẗ
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.