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Abstract  

We introduce new classes of sets called Λ g -closed sets and Λ g -open sets in topological spaces. We also investigate several properties of such sets. It turns out that Λ g -closed sets and Λ g -open sets are weaker forms of closed sets and open sets, respectively and stronger forms of g-closed sets and g-open sets, respectively.

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Abstract  

Wilansky [6] introduced the notion of US spaces. It is the purpose of this paper to introduce and investigate the notion of Θs-US spaces.

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