More on $\delta$-semiopen sets

Authors

  • M. Caldas
  • D.N. Georgiou
  • S. Jafari
  • T. Noiri

DOI:

https://doi.org/10.1285/i15900932v22n2p113

Keywords:

δ-semiopen set, δ-semiD-set, δ-semi$D<sub>0</sub>$, δ-semi$D<sub>1</sub>$, δ-semi$D<sub>2</sub>$, Sober δ-semi$R<sub>0</sub>$, δ-semi$R<sub>0</sub>$, δ-semi$R<sub>1</sub>$

Abstract

In 1963, Levine [2] introduced the notion of semi-open sets which is weaker than the notion of open sets in topological spaces. Since then several interesting generalized open sets came to existence. In 1968, Velicko [5] introduced $\delta$-open sets, which are stronger than open sets, in order to investigate the characterization of H-closed spaces. In 1997, Park et al.[4] have offered a new notion called $\delta$-semiopen sets which are stronger than semi-open sets but weaker than $\delta$-open sets. They also studied the relationships between these sets and several other types of open sets. It is the aim of this paper to offer some weak separation axioms by utilizing $\delta$-semiopen sets and the $\delta$-semi-closure operator.

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Published

29-10-2003

Issue

Volume 22, Issue 2 (2003)

Section

Articoli

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