On I⟩ I s -sets and the related notions in ideal topological spaces

被引:2
作者
Sanabria, Jose [1 ]
Rosas, Ennis [1 ]
Carpintero, Carlos [1 ]
机构
[1] Univ Oriente, Dept Matemat, Nucleo Sucre, Cumana, Estado Sucre, Venezuela
关键词
semi-I-open; Lambda(s)(I)-set; Lambda(s)(I)-closed; I-gs-closed; semi-I-T-1; space;
D O I
10.2478/s12175-013-0180-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define and study the notions of I > (I) (s) -sets, I > (I) (s) -closed sets and I-generalized semi-closed (briefly I-gs-closed) sets by using semi-I-open sets in an ideal topological space. Moreover, we present and characterize two new low separation axioms using the above notions. (C) 2013 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:1403 / 1411
页数:9
相关论文
共 7 条
  • [1] Abd El-Monsef M.E., 1992, Kyungpook Math. J., V32, P21
  • [2] Arenas F. G., 1997, Questions Answers Gen. Topology, V15, P3
  • [3] On semi-I-open sets and semi-I-continuous functions
    Hatir, E
    Noiri, T
    [J]. ACTA MATHEMATICA HUNGARICA, 2005, 107 (04) : 345 - 353
  • [4] On decompositions of continuity via idealization
    Hatir, E
    Noiri, T
    [J]. ACTA MATHEMATICA HUNGARICA, 2002, 96 (04) : 341 - 349
  • [5] NEW TOPOLOGIES FROM OLD VIA IDEALS
    JANKOVIC, D
    HAMLETT, TR
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1990, 97 (04) : 295 - 310
  • [6] Kuratowski K., 1966, Topology, VI
  • [7] NOIRI T., 2011, INT J MATH ANAL, V5, P539