On Pairwise Singular Compactification
Anjali Srivastva
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India
Rina Pankaj Verma *
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India
*Author to whom correspondence should be addressed.
Abstract
By introducing the notion of a pairwise singular compactification for a pairwise hausdorff, pairwise locally compact bitopological space it is proved that a aX is a pairwise singular compactification for X iff aX-X is a pairwise retract of aX.
Keywords: Pairwise singular point, pairwise open, pairwise locally compact spaces, pairwise retract, pairwise hausdroff