Weak continuity properties of topologized groups

被引：17
|
作者：
Cao, J. [1 ]
Drozdowski, R. [2 ]
Piotrowski, Z. [3 ]
机构：
[1] Auckland Univ Technol, Sch Comp & Math Sci, Auckland 1142, New Zealand
[2] Pedag Univ Slupsk, Inst Math, PL-76200 Slupsk, Poland
[3] Youngstown State Univ, Dept Math, Youngstown, OH 44555 USA
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2010年 / 60卷 / 01期
关键词：
developability number; feebly continuous; nearly continuous; Novak number; paratopological group; semitopological group; topological group;
D O I：
10.1007/s10587-010-0004-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if (G, center dot, tau) is a regular right (left) semitopological group with dev(G) < Nov(G) such that all left (right) translations are feebly continuous, then (G, center dot, tau) is a topological group. This extends several results in literature.
引用
收藏
页码：133 / 148
页数：16
相关论文
共 50 条
  • [21] Continuity properties of polynomials on locally compact abelian groups
    Feldman G.
    Aequationes mathematicae, 2007, 73 (3) : 285 - 290
  • [22] WEAK CONTINUITY OF JACOBIANS
    VASILENKO, GN
    SIBERIAN MATHEMATICAL JOURNAL, 1981, 22 (03) : 355 - 360
  • [23] SOME PROPERTIES OF WEAK ISOMETRIES IN DIRECTED GROUPS
    Jasem, Milan
    MATHEMATICS, INFORMATION TECHNOLOGIES AND APPLIED SCIENCES 2018, 2018, : 79 - 88
  • [24] SEMI-CONTINUITY AND WEAK-CONTINUITY
    NOIRI, T
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1981, 31 (02) : 314 - 321
  • [25] Decompositions of continuity and some weak forms of continuity
    Kirbas, Hande
    Aslim, Guelhan
    CHAOS SOLITONS & FRACTALS, 2009, 41 (04) : 1684 - 1690
  • [26] (τ1, τ2)-continuity and weak (τ1, τ2)-continuity
    Kong-ied, Butsakorn
    Sompong, Supannee
    Boonpok, Chawalit
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1321 - 1327
  • [27] Weak continuity with structural constraints
    Sidiropoulos, ND
    Baras, JS
    Berenstein, CA
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (12) : 3096 - 3104
  • [28] ABSOLUTE CONTINUITY AND WEAK COMPACTNESS
    NICULESCU, C
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (06) : 1064 - 1066
  • [29] WEAK CONTINUITY OF METRIC PROJECTIONS
    BALAGANSKII, VS
    MATHEMATICAL NOTES, 1977, 22 (3-4) : 681 - 687
  • [30] Weak α(Λ, sp)-continuity for multifunctions
    Boonpok, Chawalit
    Thongmoon, Montri
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (01): : 465 - 478
12345