Abstract
The class ofb-open sets in the sense of Andrijevi´c([3]), was discussed byEl-Atik ([9]) under the name of-open sets. This class is closed under arbitraryunion. The aim of this paper is to use Λ-sets and_-sets due to Maki ([15]) sometopologies are constructed with the concept ofb-open sets.b-Λ-sets,b-_-sets arethe basic concepts introduced and investigated. Moreover, several types of nearcontinuous function based onb-Λ-sets,b-_-sets are constructed and studied. KCI Citation Count: 0