ON bD-SETS AND ASSOCIATED SEPARATION AXIOMSt

Here, first we introduce and investigate bD-sets by usingthe notion of b-open sets to obtain some weak separation axioms.Second, we introduce the notion of gb-dosed sets and theninvestigate some relations of between b-c1osed and gb-closed sets.V,Ie also give a characterization of b-T, /2 spaces via gb-closed sets.Ve introduce two new weak homeomorphisms which are importantkeys between General Topology and Algebra. Using the not.ion ofnIx-structures, we give a characterization theorem of mx-T2 spaces.Finally, we give some examples related to the digital line