New spaces and Continuity via ˆΩ-closed sets

Authors

  • 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.

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.

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Published

2014-09-11

Issue

Vol. 32 No. 2 (2014)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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