Asian Journal of Mathematics and Computer Research

RELATIONSHIP BETWEEN DIFFERENT CONNECTEDNESS IN IDEAL TOPOLOGICAL SPACES

R. MANOHARAN *

Department of Mathematics, Sathyabama University, Chennai-600119, India.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we study about the relationship between different connectedness properties defined on a topological space via ideals. We defined a new connectedness on a topological space and investigate how it is related to the other already existing connectedness properties. Also we proved all the connectedness properties are equivalent under some conditions.

Keywords: R*-perfect set;, R*-open set;, R*-topology, R*-connectedness

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