Every topological space is semi-pre-$_{\alpha} T_{1/2}$.
作者: Toshihiro OhbaJun-iti Umehara
刊名: Mem. Fac. Sci., Kochi Univ., Ser. A 21, 89-92 (2000)., 2000, pp.89-92
来源数据库: ZBMATH期刊
原始语种摘要: Introduction: In [Rend. Circ. Mat. Palermo, II. Ser. 19, 89-96 (1970; Zbl 0231.54001)] {\it N. Levine} defined and studied generalized closed sets (briefly $g$-closed sets) and $T_{1/2}$ spaces. Since then many modified notions and theorems in this direction were introduced and investigated. In [Mem. Fac. Sci., Kochi Univ., Ser. A 16, 35-48 (1995; Zbl 0833.54001)] {\it J. Dontchev} defined and studied generalized semi-pre-closed sets (briefly gsp-closed sets) and semi-pre-$T_{1/2}$ spaces. In [ibid. 20, 33-46 (1999; Zbl 0921.54001)] {\it M. K. R. S. Veera Kumar} defined semi-pre-generalized closed sets (briefly spg-closed sets) and semi-pre-$T_{1/4}$ spaces. In his thesis [Fac. Sci. Kochi Univ., February 1999] the first author remarked that every topological space is a semi-pre-$T_{1/4}$...
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  • alpha 接字母顺序的
  • topological 拓扑的
  • generalized 广义
  • closed 闭路的
  • briefly 简洁的
  • space 宇宙
  • thesis 命题
  • defined 定义
  • studied 学习
  • direction 方向