• GENERALIZED PAIRWISE STAR SEPARATION AXIOM IN BITOPOLOGICAL SPACES

A. KANDIL, O. A. E. TANTAWY, S. A. EL-SHEIKH, E. A. SHALABY*

Abstract


In this paper, we introduce the notions of generalized pairwise star separation axioms on bitopological spaces and study some of their properties. The properties of the space  are studied through the study of the space  which is a supra topology associated to the bitopological space . The importance of this approach is that we study properties of the bitopological space  via one family  such that  is a supra topological space associated to . Also, we are dealing with one family instead of two families  and . Finally this method enable us to study on  more that two topologies. The relation between these approaches has studied.

 


Keywords


Bitopological space, Supra topology, generalized pairwise star T_0 space, generalized pairwise star T_1 space, generalized pairwise star T_2 space, generalized pairwise star R_0 space generalized pairwise star R_1 space generalized pairwise star regular s

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