THE WEAK URYSOHN NUMBER AND UPPER BOUNDS FOR CARDINALITY OF HAUSDORFF SPACES

被引:0
|
作者
Diaz Reyes, Jesus [1 ]
Romero Morales, Armando [2 ]
机构
[1] Benemerita Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Puebla 72570, Mexico
[2] Univ Tecnol Mixteca, Inst Fis & Matemat, Km 2-5 Carretera Acatlima, Huajuapan De Leon, Oaxaca, Mexico
来源
HOUSTON JOURNAL OF MATHEMATICS | 2018年 / 44卷 / 04期
关键词
Weak Urysohn number; cardinal functions; cardinal inequalities; elementary submodel;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, following the line of research of Bonanzinga [5], we introduce a new cardinal function, the weak Urysohn number of a space X, U*(X), to extend some famous inequalities due to Bella-Cammaroto [4] and Alas [1] among others, from the class of Urysohn spaces to the class of Hausdorff spaces with U*(X) <= omega.
引用
收藏
页码:1389 / 1398
页数:10
相关论文
共 50 条
  • [21] On the cardinality of Hausdorff spaces and Pol-Sapiroyskii technique
    Ramirez-Paramo, Alejandro
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2005, 46 (01): : 131 - 135
  • [22] On cardinality bounds involving the weak Lindelof degree
    Bella, A.
    Carlson, N.
    QUAESTIONES MATHEMATICAE, 2018, 41 (01) : 99 - 113
  • [23] ON SEVERAL CARDINALITY BOUNDS ON POWER HOMOGENEOUS SPACES
    Carlson, N. A.
    Ridderbos, G. J.
    HOUSTON JOURNAL OF MATHEMATICS, 2012, 38 (01): : 319 - 332
  • [24] THE URYSOHN AXIOM AND THE COMPLETELY HAUSDORFF AXIOM IN L-TOPOLOGICAL SPACES
    Shi, F. G.
    Chen, P.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2010, 7 (01): : 33 - 45
  • [25] Tighter Upper Bounds for Join Cardinality Estimates
    Cai, Walter
    SIGMOD'18: PROCEEDINGS OF THE 2018 INTERNATIONAL CONFERENCE ON MANAGEMENT OF DATA, 2018, : 1805 - 1807
  • [26] Distinguishing number of universal homogeneous Urysohn metric spaces
    Bonato, A.
    Laflamme, C.
    Pawliuk, M.
    Sauer, N.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2022, 29 (03):
  • [27] On cardinality bounds for homogeneous spaces and the Gκ-modification of a space
    Carlson, N. A.
    Porter, J. R.
    Ridderbos, G. J.
    TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (13) : 2932 - 2941
  • [28] Bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces
    Nguyen Van Hung
    O'Regan, Donal
    TOPOLOGY AND ITS APPLICATIONS, 2020, 269
  • [29] Upper Bounds on Minimum Cardinality of Exact and Approximate Reducts
    Chikalov, Igor
    Moshkov, Mikhail
    Zielosko, Beata
    ROUGH SETS AND CURRENT TRENDS IN COMPUTING, PROCEEDINGS, 2010, 6086 : 412 - +
  • [30] YT MORE ON CARDINALITY BOUNDS INVOLVING THE WEAK LINDELOF DEGREE
    Bella, A.
    Carlson, N.
    Gotchev, I.
    QUAESTIONES MATHEMATICAE, 2023, 46 (04) : 745 - 760