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Topology |
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Authors: Fadhil Hussein Abbas
In this paper, we introduce a new class of open sets in a topological space (X; τ) called h-open sets. Also, introduce and study topological properties of h-interior, h-closure, h-limit points, h-derived, h-interior points, h-border, h-frontier and h-exterior by using the concept of h-open sets. Moreover introduce the notion of h-continuous functions, h-open functions, h-irresolute functions, h-totally continuous functions, h-contra-continuous functions, h-homeomorphism and investigate some properties of these functions and study some properties, remarks related to them.
Comments: 14 Pages. [Corrections made by viXra Admin to conform with scholarly norm]
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[v1] 2021-02-04 20:28:27
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