Local Function versus Local Closure Function in Ideal Topological Spaces

被引：8
作者：
Pavlovic, Aleksandar [1 ]
机构：
[1] Fac Sci, Dept Math & Informat, Novi Sad, Serbia
来源：
FILOMAT | 2016年 / 30卷 / 14期
关键词：
ideal topological space; local function; local closure function; theta-open sets; theta-closure;
D O I：
10.2298/FIL1614725P
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to further investigate properties of the local closure function, as a generalization of the theta-closure and the local function in ideal topological spaces. Similarities and differences between it and the local function are examined by varying several well-known ideals.
引用
收藏
页码：3725 / 3731
页数：7
相关论文
共 18 条
  • [1] Al-Omari A., 2013, Novi Sad J. Math., V43, P139
  • [2] Alexandroff P., 1937, REC MATH MOSCOU, V2, P501
  • [3] Caldas M, 2010, AN STIINT U AL I-MAT, V56, P163
  • [4] Caldas M., 2004, Divu. Math, V12, P161
  • [5] On the cardinality of the θ-closed hull of sets
    Cammaroto, Filippo
    Catalioto, Andrei
    Pansera, Bruno Antonio
    Tsaban, Boaz
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (18) : 2371 - 2378
  • [6] THETA-CLOSED SUBSETS OF HAUSDORFF SPACES
    DICKMAN, RF
    PORTER, JR
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1975, 59 (02) : 407 - 415
  • [7] Engelking R., 1989, General topology
  • [8] Extensions of topological spaces
    Fomin, S
    [J]. ANNALS OF MATHEMATICS, 1943, 44 : 471 - 480
  • [9] Freud G., 1958, Acta Math. Hung, V9, P333, DOI [10.1007/BF02020262, DOI 10.1007/BF02020262]
  • [10] Jafari S, 2011, EUR J PURE APPL MATH, V4, P147
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