Semi-precontinuous functions and properties of generalized semi-preclosed sets in topological spaces.
作者: G.B. Navalagi
刊名: Int. J. Math. Math. Sci., 2002, Vol.29 (2), pp.85-98
来源数据库: ZBMATH期刊
原始语种摘要: Summary: {\it D. Andrijevi\'c} [Mat. Vesn. 38, 24-32 (1986; Zbl 0604.54002)] introduced the class of semi-preopen sets in topological spaces. Since then many authors including Andrijevi\'c have studied this class of sets by defining their neighborhoods, separation axioms and functions. The purpose of this paper is to provide the new characterizations of semi-preopen and semi-preclosed sets by defining the concepts of semi-precontinuous mappings, semi-preopen mappings, semi-preclosed mappings, semi-preirresolute mappings, pre-semipreopen mappings, and pre-semi-preclosed mappings and study their characterizations in topological spaces. Recently, {\it J. Dontchev} [Mem. Fac. Sci., Kochi{} Univ., Ser. A 16, 35-48 (1995; Zbl 0833.54001)] has defined the concepts of generalized semi-preclosed...
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  • topological 拓扑的
  • irresolute 犹豫不决的
  • semiclosed 半闭式
  • generalized 广义
  • approximately 近似地
  • contra 相对
  • introduced 引种的
  • defined 定义
  • class 
  • perfectly 完全地