$(1,2)^\star$-$g^\star$-Closed Sets
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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$_{g}^\star$-spaceAbstract
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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