ON AI*-SETS, CI-SETS, CI*-SETS AND DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES

被引:8
作者
Ekici, Erdal [1 ]
机构
[1] Canakkale Onsekiz Mart Univ, Dept Math, TR-17020 Canakkale, Turkey
来源
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2013年 / 59卷 / 01期
关键词
A(I)*-set; C-I-set; C-I*-set; pre-I-regular set; ideal topological space; decomposition; star-extremally disconnected ideal space; star-hyperconnected ideal space; I-submaximal ideal space;
D O I
10.2478/v10157-012-0030-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to introduce and study the notions of A(I)*-sets, C-I-sets and C-I*-sets in ideal topological spaces. Properties of A(I)*-sets, C-I-sets and C-I*-sets are investigated. Moreover, decompositions of continuous functions and decompositions of A(I)*-continuous functions via A(I)*-sets, C-I-sets and C-I*-sets in ideal topological spaces are established.
引用
收藏
页码:173 / 184
页数:12
相关论文
共 15 条
  • [1] ACIKGOZ A, 2005, B MALAYS MATH SCI SO, V28, P1
  • [2] Bourbaki N., 1966, ELEMENTS MATH GEN 1
  • [3] Ideal resolvability
    Dontchev, J
    Ganster, M
    Rose, D
    [J]. TOPOLOGY AND ITS APPLICATIONS, 1999, 93 (01) : 1 - 16
  • [4] Dontchev J., 1999, ARXIVMATHGN9901017V1
  • [5] a⟨†-Extremally disconnected ideal topological spaces
    Ekici, E.
    Noiri, T.
    [J]. ACTA MATHEMATICA HUNGARICA, 2009, 122 (1-2) : 81 - 90
  • [6] Ekici E, 2012, AN STIINT U AL I-MAT, V58, P121
  • [7] PROPERTIES OF I-SUBMAXIMAL IDEAL TOPOLOGICAL SPACES
    Ekici, Erdal
    Noiri, Takashi
    [J]. FILOMAT, 2010, 24 (04) : 87 - 94
  • [8] A note on strong β-I-sets and strongly β-I-continuous functions
    Hatir, E
    Keskin, A
    Noiri, T
    [J]. ACTA MATHEMATICA HUNGARICA, 2005, 108 (1-2) : 87 - 94
  • [9] On decompositions of continuity via idealization
    Hatir, E
    Noiri, T
    [J]. ACTA MATHEMATICA HUNGARICA, 2002, 96 (04) : 341 - 349
  • [10] Hatir E., 2003, JP Jour. Geometry and Topology, V3, P53