• ON SOME PROPERTIES OF (1, 2)*-gαbg ̂-CLOSED SETS IN BITOPOLOGICAL SPACES
Abstract
In this paper a new class of closed sets called (1, 2)*- -closed sets in bitopological spaces is introduced. Several properties of this class and its inclusion relationship with other known classes of closed sets are analyzed. This class contains the class of all (1, 2)*-closed sets and is contained in the class of all (1, 2)*- - closed sets and (1, 2)*- - closed sets. Also several new classes of spaces induced by the class of (1, 2)*- -closed sets are defined and their properties are investigated.
Keywords
(1,2)*-α-closed sets, (1,2)*-b-closed sets, (1,2)*-g ̂-closed sets, (1,2)*-bg ̂-closed sets, (1,2)*-αbg ̂-closed sets, (1,2)*-gαbg ̂-closed sets, (1,2)*-gαbg ̂ continuous and (1,2)*-T_(gαbg ̂)^ -space.
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