F-n-resolvable spaces and compactifications

Intissar Dahane

Tunisia

University Tunis-El Manar

Faculty of Sciences of Tunis

Lobna Dridi

Tunisia

University of Tunis

Department of Mathematics, Tunis Preparatory Engineering Institute

Sami Lazaar

Tunisia

University Tunis-El Manar

Faculty of Sciences of Tunis
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Accepted: 2019-02-01

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Published: 2019-04-01

DOI: https://doi.org/10.4995/agt.2019.10036
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Keywords:

categories, functors, resolvable spaces, compactifications

Supporting agencies:

Laboratory of research LATAO (LR11ES12)

Abstract:

A topological space is said to be resolvable if it is a union of
two disjoint dense subsets. More generally it is called n-resolvable if it is a union of n pairwise disjoint dense subsets. In this paper, we characterize topological spaces such that their reflections (resp., compactifications) are n-resolvable (resp., exactly-n-resolvable, strongly-exactly-n-resolvable), for some particular cases of reflections and compactifications.

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