Abstract
The main purpose of this paper is to introduce new definitions of separation, connectedness in topological spaces namely ( S^* g-separation , (S^* g-α)separation , S^* g-connected , (S^* g-α)connected ) by using the definitions S^* g-(S^* g-α)- open sets and study the relations among them . Also we study hereditary, topological property and show that S^* g-(S^* g-α)connectedness is not - hereditary property but topological property.
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