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A new type of closed sets in a topological space, called ωI,γclosed sets, is introduced and studied. Also we studied and characterized the class of spaces having (I, γ)-tightness. 2010 Mathematics Subject Classification. 54C10, 54D10.doi:10.5644/sjm.09.2.13 fatcat:55b46onr4faejhhmbwjaojfyjq