On Some Generalized Topologies Satisfying all Separation Axioms

被引：0
|
作者：
Hejduk, Jacek [1 ]
Loranty, Anna [1 ]
机构：
[1] Univ Lodz, Fac Math & Comp Sci, Stefana Banacha 22, PL-90238 Lodz, Poland
来源：
RESULTS IN MATHEMATICS | 2024年 / 79卷 / 01期
关键词：
Separation axioms; generalized topological space; density type operator; RESPECT;
D O I：
10.1007/s00025-023-02073-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The properties of generalized topological spaces generated by some kind of density operators are presented. Moreover, the separation axioms of such generalized topological spaces are investigated. The examples of generalized topological spaces satisfing all separation axioms are included.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] On Some Generalized Topologies Satisfying all Separation Axioms
    Jacek Hejduk
    Anna Loranty
    Results in Mathematics, 2024, 79
  • [2] Separation axioms for generalized topologies
    Ákos Császár
    Acta Mathematica Hungarica, 2004, 104 : 63 - 69
  • [3] Separation axioms for generalized topologies
    Császár, A
    ACTA MATHEMATICA HUNGARICA, 2004, 104 (1-2) : 63 - 69
  • [4] Some Generalized Fuzzy Separation Axioms
    Khedr, F. H.
    Sayed, O. R.
    Mohamed, S. R.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
  • [5] SEPARATION AXIOMS FOR INTERVAL TOPOLOGIES
    ERNE, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 79 (02) : 185 - 190
  • [6] Some separation axioms in generalized topological spaces
    Pankajam, V.
    Sivaraj, Diraviam
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (01): : 29 - 42
  • [7] On dense subspaces satisfying stronger separation axioms
    Alas, OT
    Tkachenko, MG
    Tkachuk, VV
    Wilson, RG
    Yaschenko, IV
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2001, 51 (01) : 15 - 28
  • [8] On Dense Subspaces Satisfying Stronger Separation Axioms
    Ofelia T. Alas
    Mikhail G. Tkachenko
    Vladimir V. Tkachuk
    Richard G. Wilson
    Ivan V. Yaschenko
    Czechoslovak Mathematical Journal, 2001, 51 : 15 - 28
  • [9] 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
  • [10] γ-(α,β)-semi open sets and some new generalized separation axioms
    Rosas, Ennis
    Carpintero, Carlos
    Sanabria, Jose
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2007, 30 (01) : 13 - 21
12345