2013Missouri Journal of Mathematical SciencesOpen access

On Functionally Hausdorff Spaces

Sami Lazaar

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Abstract

This paper deals with functionally Hausdorff spaces. Some separation axioms which are introduced recently are studied in this paper. An interesting categorical properties of functionally Hausdorff spaces are given. Finally, we characterize topological spaces for which the functionally Hausdorff-reflection is a spectral space.

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This paper deals with functionally Hausdorff spaces. Some separation axioms which are introduced recently are studied in this paper. An interesting categorical properties of functionally Hausdorff spaces are given. Finally, we characterize topological spaces for which the functionally Hausdorff-reflection is a spectral space.

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Available abstract

This paper deals with functionally Hausdorff spaces. Some separation axioms which are introduced recently are studied in this paper. An interesting categorical properties of functionally Hausdorff spaces are given. Finally, we characterize topological spaces for which the functionally Hausdorff-reflection is a spectral space.

Key concepts: Urysohn and completely Hausdorff spaces, Hausdorff space, Normal space, Mathematics, Separation axiom, Hausdorff distance, Topological space, Pure mathematics

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