Between Preopen and Open Sets in Topological Spaces

被引：0
|
作者：
Darwesh, Halgwrd M. [1 ]
机构：
[1] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani, Kurdistan Regio, Iraq
来源：
THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期
关键词：
omega-open set; preopen set; omega(p)-open set; almost continuous functions; omega-almost continuous functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to introduce the class of omega(p)-open sets which is strictly placed between the class of all preopen and the class of all open subsets of $X$. Relationships with some other type of sets are given. Furthermore, we introduce a new type of continuity termed the class of omega-almost continuous functions which is lies strictly between the class of all continuous and the class of all almost-continuous functions. New decompositions of continuity are obtained.
引用
收藏
页码：143 / 155
页数：13
相关论文
共 50 条
  • [1] A NEW CLASS BETWEEN θμ-OPEN SETS AND μ-OPEN SETS IN GENERALIZED TOPOLOGICAL SPACES
    Qahis, Abdo
    Al Mahri, Fatimah
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2024, 36 (01) : 98 - 110
  • [2] Between ?-b-open sets and ?-fl-open sets in generalized topological spaces
    Sarsak, Mohammad S.
    HELIYON, 2023, 9 (03)
  • [3] Preopen sets in ideal bitopological spaces
    Caldas, M.
    Jafari, S.
    Rajesh, N.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2011, 29 (02): : 61 - 68
  • [4] (Λ, sp)-open sets in topological spaces
    Boonpok, Chawalit
    Khampakdee, Jeeranunt
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 572 - 588
  • [5] On β-Open Sets and Ideals in Topological Spaces
    Catalan, Glaisa T.
    Padua, Roberto N.
    Baldado, Michael P., Jr.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (03): : 893 - 905
  • [6] m-PREOPEN SETS IN BIMINIMAL SPACES
    Carpintero, C.
    Rajesh, N.
    Rosas, E.
    DEMONSTRATIO MATHEMATICA, 2012, 45 (04) : 953 - 961
  • [7] Some functions defined by α-open and preopen sets
    Beceren, Yusuf
    Noiri, Takashi
    CHAOS SOLITONS & FRACTALS, 2008, 37 (04) : 1097 - 1103
  • [8] INTERSECTION OF OPEN SETS IN TOPOLOGICAL-SPACES
    DORTMANN, J
    MIYAOKA, FK
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (04): : A451 - A451
  • [9] δp(Λ, p)-open sets in topological spaces
    Boonpok, Chawalit
    Thongmoon, Montri
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (03): : 1533 - 1542
  • [10] On ds(?, s)-open sets in topological spaces
    Pue-on, Prapart
    Boonpok, Chawalit
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (04): : 749 - 753
12345