lambda*-CLOSED SETS AND NEW SEPARATION AXIOMS IN ALEXANDROFF SPACES

被引：1
|
作者：
Banerjee, Amar Kumar [1 ]
Pal, Jagannath [1 ]
机构：
[1] Univ Burdwan, Dept Math, Golapbag, India
来源：
KOREAN JOURNAL OF MATHEMATICS | 2018年 / 26卷 / 04期
关键词：
Alexandroff spaces; g*-closed sets; g*-open sets; A(tau)<^>-sets; g(tau)<^>-sets; T-omega; T-omega/4; T-3 omega/8 and T-5 omega/8 axioms; lambda*-closed sets; lambda*-open sets; weak R-0-spaces; Strongly symmetric spaces;
D O I：
10.11568/kjm.2018.26.4.709
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Here we have studied the ideas of g*-closed sets, g(tau)<^>-sets and lambda*-closed sets and investigate some of their properties in the spaces of A. D. Alexandroff [1]. We have also studied some separation axioms like T omega/4, T3 omega/8, T omega in Alexandroff spaces and also have introduced a new separation axiom namely T-5 omega/8 axiom in this space.
引用
收藏
页码：709 / 727
页数：19
相关论文
共 50 条
  • [1] On beta* g-closed Sets and New Separation Axioms
    Acikgoz, Ahu
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (01): : 20 - 33
  • [2] On θ-semiopen sets and separation axioms in topological spaces
    Caldas, M.
    Ganster, M.
    Georgiou, D. N.
    Jafari, S.
    Noiri, T.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2008, 24 (01) : 13 - 22
  • [3] N-CLOSED SETS AND SOME SEPARATION AXIOMS
    NOIRI, T
    ANNALES DE LA SOCIETE SCIENTIFIQUE DE BRUXELLES SERIES 1-SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1974, 88 (02): : 195 - 199
  • [4] Generalized closed sets and some separation axioms on weak structure
    Zahran, A. M.
    Mousa, A. K.
    Ghareeb, A.
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 669 - 677
  • [5] SOME SEPARATION AXIOMS IN Ngδs- CLOSED SETS
    Sakthivel, K.
    Devaki, K. B.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (11): : 1521 - 1529
  • [6] ON (Lambda,mu)-CLOSED SETS IN GENERALIZED TOPOLOGICAL SPACES
    Roy, Bishwambhar
    Ekici, Erdal
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (02): : 174 - 179
  • [7] New separation axioms in generalized topological spaces
    Sarsak, M. S.
    ACTA MATHEMATICA HUNGARICA, 2011, 132 (03) : 244 - 252
  • [8] New separation axioms in generalized topological spaces
    M. S. Sarsak
    Acta Mathematica Hungarica, 2011, 132 : 244 - 252
  • [9] NEW SEPARATION AXIOMS IN TOPOLOGICAL ORDERED SPACES
    ARYA, SP
    GUPTA, K
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1991, 22 (06): : 461 - 468
  • [10] New separation axioms in generalized bitopological spaces
    Banerjee, Amar Kumar
    Pal, Jagannath
    MATHEMATICAL SCIENCES, 2020, 14 (02) : 185 - 192
12345