Title: Scott topologies via b-Structures Designed on Continuous Mappings
Authors: Hyder abbas Abdulameer, AL-Nafie Z.D
Volume: 10
Issue: 6
Pages: 94-96
Publication Date: 2026/06/28
Abstract:
New topological spaces can be defined in many different ways, like extending the set theory by deriving a new set from an old one, or by introducing new classes of continuity of functions. In this work, we try to use these methods together to modified the theory of topological spaces. Here established the notion of b-Scott topology as a generalization of a new class of topological spaces. Firstly, investigate their basics and study continuous mappings between them. Then, we deal with some topologies like strong b-Scott topology, admissible topologies, and Isbell topologies, designed via b-open sets and b-closed sets. Relations among these topologies are discussed and illustrated.