New spaces and Continuity via ˆΩ-closed sets

M. Lellis Thivagar; M. Anbuchelvi

doi:10.5269/bspm.v32i2.18193

M. Lellis Thivagar Madurai Kamaraj University School of Mathematics
M. Anbuchelvi V. V. Vanniaperumal College For Women Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v32i2.18193

Keywords: ˆΩ -closed sets, ˆΩ Tδ -spaces, ωTˆΩ -spaces, ˆΩ -continuity and ˆΩ -irresolute

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.

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Author Biography

M. Anbuchelvi, V. V. Vanniaperumal College For Women Department of Mathematics

I am a scholar in Madurai Kamaraj University,School of Mathematics,Madurai,INDIA.