c3914e3a-e2f2-44d8-ad0e-0aaad443084920210217114257949wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS1109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40512720202720201910.37394/23206.2020.19http://wseas.org/wseas/cms.action?id=23185β* - Compactness and β* - ConnectednessRaja MohammadLatifDepartment of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Al Khobar, KINGDOM OF SAUDI ARABIAIn 2014 Mubarki, Al-Rshudi, and Al-Juhani introduced and studied the notion of a set in general topology called β * - open sets and investigated its fundamental properties and studied the relationships between β * - open set and other topological sets including β * - continuity in topological spaces. 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