More on -semiopen sets
More on -semiopen sets
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更多关于-半开集
DOI：
10.1285/i15900932v22n2p113
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
T. Noiri
中科院分区：
文献类型：
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作者：
M. Caldas;D. Georgiou;S. Jafari;T. Noiri
1963年，Levine [2]在拓扑空间中引入了比开集弱的半开集的概念。从那时起，几个有趣的广义开集出现了。1968年，Velicko [5]为了研究H-闭空间的特征，引入了比开集更强的-开集。1997年，Park et al. [4]提出了一个新的概念-半开集，它比半开集强，但比-开集弱。他们还研究了这些集合与其他几种类型的开集之间的关系。利用-半开集和-半闭包算子给出了一些弱分离性公理。
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 -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 -semiopen sets which are stronger than semi-open sets but weaker than -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 -semiopen sets and the -semi-closure operator.