New spaces and Continuity via ˆΩ-closed sets

In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such...

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2014-09, Vol.32 (2), p.143-161
Hauptverfasser: Thivagar, M. Lellis, Anbuchelvi, M.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such as ˆΩ -continuity, ˆΩ -irresolute,weakly ˆΩ -continuity and ˆΩ -open mappings.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v32i2.18193