New spaces and Continuity via ˆΩ-closed sets

Abstract

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.

Keywords

• ˆΩ -closed sets
• ˆΩ Tδ -spaces
• ωTˆΩ -spaces
• ˆΩ -continuity and ˆΩ -irresolute