F-n-resolvable spaces and compactifications

• Autores: Intissar Dahane, Lobna Dridi, Sami Lazaar
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 97-108
• Idioma: inglés
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• Resumen

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