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Topology Between Two Sets
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The aim of this paper is to introduce a single structure which carries the subsets of X as well as the subsets of Y for studying the information about the ordered pair (A, B) of subsets of X and Y. Such a structure is called a binary structure from X to Y. Mathematically a binary structure from X to Y is defined as a set of ordered pairs (A, B) where AX and BY. The purpose of this paper is to introduce a new topology between two sets called a binary topology and investigate its basic properties where a binary topology from X to Y is a binary structure satisfying certain axioms that are analogous to the axioms of topology.
MSC 2010: 54A05, 54A99.
Atlas Publishing, LLC
Title: Topology Between Two Sets
Description:
The aim of this paper is to introduce a single structure which carries the subsets of X as well as the subsets of Y for studying the information about the ordered pair (A, B) of subsets of X and Y.
Such a structure is called a binary structure from X to Y.
Mathematically a binary structure from X to Y is defined as a set of ordered pairs (A, B) where AX and BY.
The purpose of this paper is to introduce a new topology between two sets called a binary topology and investigate its basic properties where a binary topology from X to Y is a binary structure satisfying certain axioms that are analogous to the axioms of topology.
MSC 2010: 54A05, 54A99.
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