$(1,2)^\star$-$g^\star$-Closed Sets


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Authors

  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai Dt, Tamil Nadu, India
  • M. Jeyaraman PG and Research Department of Mathematics, Raja Dorai Singam Govt.Arts College, Sivagangai, Tamil Nadu, India
  • M. Sajan Joseph Department of Mathematics, Arul Anandar College, Karumathur, Madurai Dt, Tamil Nadu, India
  • R. Muthuraj PG and Research Department of Mathematics, H. H. The Rajah's College, Pudukottai, Tamil Nadu, India

Keywords:

$(1,2)^\star$-$g^\star$-closed set, $(1,2)^\star$-$g^\#$-closed set, $(1,2)^\star$-$\alpha g$-closed set, $(1,2)^\star$-T$_{1/2}$-space, $(1,2)^\star$-T$_{g}^\star$-space, $(1,2)^\star$-$_{g}$T$_{g}^\star$-space

Abstract

The aim of this paper is to introduce a new class of sets namely $(1,2)^\star$-$g^\star$-closed sets in bitopological spaces. This class lies between the class of $\tau_{1,2}$-closed sets and the class of $(1,2)^\star$-g-closed sets. The complement of an $(1,2)^\star$-$g^\star$-closed set is called an $(1,2)^\star$-$g^\star$-open set. Moreover we introduce two new spaces namely, $(1,2)^\star$-T$_{g}^\star$-spaces and $(1,2)^\star$-$_{g}$T$_{g}^\star$-spaces.

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Published

10-12-2015

How to Cite

O. Ravi, M. Jeyaraman, M. Sajan Joseph, & R. Muthuraj. (2015). $(1,2)^\star$-$g^\star$-Closed Sets. International Journal of Mathematics And Its Applications, 3(4 - B), 59–70. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/497

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Section

Research Article

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