$ S $-$ \delta $-connectedness in $ S $-proximity spaces

Authors : Beenu SİNGH, Davinder SİNGH

Pages : 600-611

Doi:10.31801/cfsuasmas.792265

View : 30 | Download : 15

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :New types of connectedness in $ S $-proximity spaces, named as an $ S $-$\delta$-connectedness, local $ S $-$ \delta $-connectedness are introduced. Also, their inter-relationships are studied. In an $ S $-proximity space $ insert ignore into journalissuearticles values(X, \delta_{X}); $, the $ S $-$ \delta $-connectedness of a subset $ U $ of $ X $ with respect to $ \delta_{X} $ may not be same as the $ S $-$ \delta $-connectedness of $ U $ with respect to its subspace proximity $ \delta_{U} $. Further, $ S $-$ \delta $-component and $ S $-$ \delta $-treelike spaces are also defined and a number of results are given.
Keywords : S proximity space, delta Connected, delta component, locally delta Connected, delta treelike