Research
Exploring Hyperconnectedness and Separation in Ideal Topological Spaces
We came up with the concept ð’ƒð’ƒâˆ—-open set which has stricter condition with respect to the notion b-open sets, introduced by Andrijevic [3] as a generalization of Levine's [11] generalized closed sets. Anchoring on this concept, we defined ð’ƒð’ƒð‘°ð‘° ∗∗-hyperconnected sets and ð’ƒð’ƒâˆ— -separated sets. Topology is seen in many areas of science, for example, it is used to model the space-time notion of the universe. It is sometimes investigated in non-conventional ways, for example Donaldson [7] utilized mathematical concepts used by physicists to solve topological problems. These problems includes new topological sets like ð’ƒð’ƒâˆ—-open set. A subset B of a topological space W is called a ð’ƒð’ƒâˆ—-open relative to an ideal I (or -open), if there is an open set P with , and a closed set S with such that In this study, we gave some of the important properties of ð’ƒð’ƒð‘°ð‘° ∗∗-hyperconnected sets and ð’ƒð’ƒâˆ—-separated sets.
