On a Class of gamma*-pre-open Sets in Topological Spaces

被引:2
|
作者
Krishnan, G. Sai Sundara [1 ]
Saravanakumar, D. [2 ]
Ganster, M. [3 ]
Balachandran, K. [4 ]
机构
[1] PSG Coll Technol, Dept Appl Math & Computat Sci, Coimbatore, Tamil Nadu, India
[2] SNS Coll Engn, Dept Math, Coimbatore, Tamil Nadu, India
[3] Graz Univ Technol, A-8010 Graz, Austria
[4] Bharathiar Univ, Dept Math, Coimbatore, Tamil Nadu, India
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2014年 / 54卷 / 02期
关键词
gamma-closed(open); gamma-closure; gamma-interior; gamma*-pre-closed(open); gamma*-pre-closure; gamma*-pre-interior; gamma*-semi-pre-closed(open); gamma*-semi-pre-closure; gamma*-semi-pre interior; tau(gamma)-p*-closed(open); tau(gamma)-p*-closure; tau(gamma)-p*-interior;
D O I
10.5666/KMJ.2014.54.2.173
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a new class of open sets, namely gamma*-pre-open sets was introduced and its basic properties were studied. Moreover a new type of topology tau(gamma p)* was generated using gamma*-pre-open sets and characterized the resultant topological space (X, tau(gamma p*)) as gamma*-pre-T space.
引用
收藏
页码:173 / 188
页数:16
相关论文
共 50 条
  • [41] Between ?-b-open sets and ?-fl-open sets in generalized topological spaces
    Sarsak, Mohammad S.
    HELIYON, 2023, 9 (03)
  • [42] On R-I-open sets and A(I)*-sets in ideal topological spaces
    Ekici, Erdal
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (02): : 26 - 31
  • [43] Generalized ψρ-Closed Sets and Generalized ψρ-Open Sets in Double Fuzzy Topological Spaces
    Mohammed, Fatimah M.
    Noorani, M. S. M.
    Ghareeb, A.
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 909 - 917
  • [44] SEMI GENERALIZED OPEN SETS AND GENERALIZED SEMI CLOSED SETS IN TOPOLOGICAL SPACES
    Hassan, Abdelgabar Adam
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (06): : 1029 - 1036
  • [45] Applications of sets and functions by using an open sets in Fuzzy neutrosophic topological spaces
    Basker P.
    Said B.
    Vennila J.
    Neutrosophic Sets and Systems, 2024, 65 : 161 - 173
  • [46] ON SOME PROPERTIES OF GENERALIZED OPEN SETS IN GENERALIZED TOPOLOGICAL SPACES
    Sarsak, Mohammad S.
    DEMONSTRATIO MATHEMATICA, 2013, 46 (02) : 415 - 427
  • [47] More properties of generalized open sets in generalized topological spaces
    Sarsak, Mohammad S.
    DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 404 - 415
  • [48] Corrigendum and Addendum to "h-open sets in Topological spaces"
    Sharma, Shallu
    Saproo, Pooja
    Billawria, Sahil
    Digra, Naresh
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [49] μmn Sp-Open Sets in Bigeneralized Topological Spaces
    Benjamin, Philip Lester P.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1281 - 1285
  • [50] On semi-open sets in grill nano topological spaces
    Mohamed, Ahmed Sh.
    Esmaeel, R. B.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2023, 26 (07) : 1549 - 1554