\({\lambda}_{pc}\)-Open Sets and \({\lambda }_{pc}\)-Separation Axioms


  • Alias B. Khalaf University of Duhok
  • Alan Omar University of Duhok






The aim of this paper is to introduce a new class of sets called \({\lambda }_{pc}\text{-}\) open sets and to investigate some of their relationships and properties. Further, by using this set, the notion of \({\lambda}_{pc}\text{-}{T}_\text{i}\) spaces \(( i = 0,1/2, 1, 2 )\) and \({\lambda}_{pc}\text{-}{R}_{j}\) spaces \(( j = 0, 1 )\) are introduced and some of their properties are investigated.

Keywords: s-operation; \({\lambda }_{pc}\)-Open Set; \({\lambda }_{pc}-T_i, i=0,1,2\); \({\lambda }_{pc}-R_j, j=0,1.\)

Author Biography

Alias B. Khalaf, University of Duhok

Professor, Department of Mathematics


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