## On semi star generalized closed sets in bitopological spaces.(English)Zbl 1211.54044

A subset $$A$$ of a bitopological space $$(X,\tau_1,\tau_2)$$ is called $$\tau_1\tau_2$$-semi star generalized closed (briefly $$\tau_1\tau_2$$-$$s^*g$$ closed) if $$\tau_2$$-$$cl(A)\subseteq U$$ whenever $$A\subseteq U$$ and $$U$$ is $$\tau_1$$-semi open in $$X$$. Then a map $$f:(X,\tau_1,\tau_2)\rightarrow (Y,\sigma_1,\sigma_2)$$ is said to be pairwise $$s^*g$$-continuous if $$f^{-1}(U)$$ is $$\tau_i\tau_j$$-$$s^*g$$ closed for each $$\sigma_j$$-closed set $$U$$ in $$Y$$ ($$i\neq j$$, $$i,j=1,2$$). In the paper the authors present some straightforward results for $$\tau_1\tau_2$$-$$s^*g$$ closed sets and pairwise $$s^*g$$-continuous mappings and introduce the concepts of $$S^*GO$$-connectedness and $$S^*GO$$-compactness for bitopological spaces.

### MSC:

 5.4e+56 Bitopologies
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