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ON G*B􀣓􀣓 - CLOSED SETS IN BITOPOLOGICAL SPACES

P. Priyadharsini1, A. Parvathi2 , G. K. Chandrika3
  1. Ph.D. Research Scholar, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India
  2. Professor , Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.
  3. Retd. Professor , Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India
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Abstract

The aim of this paper is to introduce the concepts of closed sets in bitopological space called (i, j) - generalized star b􀟱 - closed sets, (i, j) - generalized star b􀟱 - open sets and study their basic properties.

Keywords

(i, j) - generalized star bω - closed sets, (i, j) - generalized star bω - open sets.

INTRODUCTION

Generalized closed sets form a stronger tool in the characterization of bitopological spaces. The study of bitopological spaces was initiated by Kelly [8] and thereafter a large number of papers have been done to generalize the topological concepts to bitopological setting. Fukutake [5] introduced g - closed sets in bitopological spaces. Abo Khadra and Nasef [1] discussed b - open sets in bitopological spaces. Alswidi et al. [2] introduced a new notions on an ij - ω - closed sets in bitopological spaces.
In this paper, a new class of sets in bitopological spaces called (i, j) - g*bω - closed sets is introduced. A comparative study has been done with already existing closed sets and (i, j) - g*bω - closed sets.

PRELIMINARIES

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CONCLUSION

In this research, we introduce the concept of g*bω - continuous, closed maps in these spaces and present some results.

References

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