Abstract
In this paper we introduce the new concept of binary supra topology and dealswith concrete examples. Also we examine some binary supra topological properties.Further characterizations and properties of weak and strong forms binary supracontinuity have been obtained.
Highlights
Binary Supra TopologyBy merging binary and supra topological space we have formed a new topological structure called binary supra topological space and paves way to some peculiar yields
In this paper we introduce the concept of Binary supra topological space is nothing but a binary supra topology from X to Y is a binary structure μ ⊆P(X) × P(Y) that satisfies the following axioms
We introduce the basic concepts of binary supra topological spaces
Summary
By merging binary and supra topological space we have formed a new topological structure called binary supra topological space and paves way to some peculiar yields. The elements of Bμ are called binary supra open sets. : Let (X,Y, Bμ) be a binary supra topological space and let (x,y)∈X ×Y, a subset (A,B) of (X,Y) is called a binary supra neighbourhood of (x,y) if there exist a binary supra open set (U,V) such that (x,y) ∈ (U,V) ⊆ (A,B). :Let X = {a,b,c} and Y = {1,2} with binary supra topology Bμ = { (X, Y ), (∅, ∅), ({b}, {1}), ({a, b}, {2}), ({a, b}, Y )}. ({a, b}, Y ), ({a, b}, {2}), (X, Y ) is binary supra neighbourhood of a point (a,2). : The ordered pair ( (A, B)1∗ , (A, B)2∗ ) is binary supra closure of (A,B), denoted by Bμcl(A, B) in the binary supra space (X,Y, Bμ) where (A,B) ⊆ (X,Y). : Let (X,Y, Bμ) be a binary supra topological space and (A,B) ⊆ (X,Y).
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