Cocompact Open Sets and Continuity

被引：3
|
作者：
Al Ghour, Samer [1 ]
Samarah, Salti [1 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
D O I：
10.1155/2012/548612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)*-open sets as another type of generalized open sets. Several results and examples related to them are obtained; particularly a decomposition of open sets is given. Also, coc-open sets and (coc)*-open sets are used to introduce coc-continuity and (coc)*-continuity, respectively. As a main result, a decomposition theorem of continuity is obtained.
引用
收藏
页数：9
相关论文
共 50 条
  • [21] Supra finite soft-open sets and applications to operators and continuity
    Abu Shaheen, Fuad A.
    Al-shami, Tareq M.
    Arar, Murad
    El-Barbary, O. G.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 35 (02): : 120 - 135
  • [22] On Fuzzy Soft α-open Sets, α-continuity, and α-compactness: Some Novel Results
    Alqurashi, Wafa
    Taha, Islam M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 4112 - 4134
  • [23] SEMI-OPEN SETS AND SEMI-CONTINUITY IN TOPOLOGICAL SPACES
    LEVINE, N
    AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (01): : 36 - &
  • [24] RAJCHMAN SETS AND SETS OF CONTINUITY
    HOST, B
    PARREAU, F
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (19): : 899 - 902
  • [25] b - I-OPEN SETS AND DECOMPOSITION OF CONTINUITY VIA IDEALIZATION
    Guler, Aysegul Caksu
    Aslim, Gulhan
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2005, 22 (30): : 27 - 32
  • [26] Almost (τ1, τ2)-Continuity and τ1τ2-δ-Open Sets
    Thongmoon, Montri
    Sompong, Supannee
    Boonpok, Chawalit
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
  • [27] Super-Open Sets and Super-Continuity of Maps in the Product Space
    Labendia, Mhelmar A.
    Canoy, Sergio R., Jr.
    MATEMATIKA, 2013, 29 (02) : 197 - 202
  • [28] On a new weaker form of Popa's rare continuity via λ-open sets
    Ekici, Erdal
    Jafari, Saeid
    KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2009, 36 (1A): : 33 - 41
  • [29] Semi-open sets and semi-continuity in fuzzy bitopological spaces
    Thakur, SS
    Malviya, R
    FUZZY SETS AND SYSTEMS, 1996, 79 (02) : 251 - 256
  • [30] PRE-REGULAR P-OPEN SETS AND DECOMPOSITIONS OF COMPLETE CONTINUITY
    Jeyanthi, P.
    Nalayini, P.
    Noiri, T.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 9 (03): : 227 - 237
12345