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On θ-semiopen sets and separation axioms in topological spaces
M. Caldas ♦ M. Ganster ♦ D. N. Georgiou ♦ S. Jafari ♦ T. Noiri
Abstract
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In 1963, Levine introduced the notion of semi-open sets in topological spaces. In 1968, Velicko introduced ˇ θ-open sets and θ-closure operator. In this paper, we introduce a new notion called θ-semiopen sets which are stronger than semi-open sets but weaker than θ-open sets. Moreover, we investigate some weak separation axioms by making use of θ-semiopen sets and the θ-semi-closure operator.