2017•Facta Universitatis Series Mathematics and InformaticsOpen access

SUPRA HOMEOMORPHISM IN SUPRA TOPOLOGICAL ORDERED SPACES

M. Abo-Elhamayel, Tareq M. Al-shami

Abstract

The purpose of this paper is to introduce the concepts of x-supra continuous (open, closed, homeomorphism) maps in supra topological ordered spaces for x ∈ {I,D,B}. We study the relationship among these types with the help of examples and investigate the equivalent conditions for each concept. In particular, we present the sufficient conditions for maps to preserve some of separation axioms.

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Key concepts: Homeomorphism (graph theory), Topological space, Separation axiom, Mathematics, Axiom, Pure mathematics, Topology (electrical circuits), Discrete mathematics