Some notes on quasi-Lindelof spaces

被引:1
|
作者
Song, Yan-Kui [1 ]
机构
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Lindelof; almost Lindelof; weakly Lindelof; quasi-Lindelof;
D O I
10.2989/16073606.2017.1334158
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we address a problem that was suggested by Petra Staynova in [6] regarding quasi-Lindelof spaces, and continue to study topological properties of quasi-Lindelof spaces. In particular, we construct an example of a Tychonoff weakly Lindelof space which is not quasi-Lindelof.
引用
收藏
页码:891 / 896
页数:6
相关论文
共 50 条
  • [1] QUASI-LINDELOF SPACES REVISITED
    Xuan, Wei-feng
    Song, Yan-kui
    HOUSTON JOURNAL OF MATHEMATICS, 2021, 47 (03): : 711 - 721
  • [2] REMARKS ON QUASI-LINDELOF SPACES
    Song, Yan-Kui
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2013, 88 (03) : 506 - 508
  • [3] A WEAK QUASI-LINDELOF PROPERTY AND QUASI-FINE SUPPORTS OF MEASURES
    FITZSIMMONS, PJ
    GETOOR, RK
    MATHEMATISCHE ANNALEN, 1995, 301 (04) : 751 - 762
  • [4] Balayages on excessive measures, their representation and the quasi-Lindelof property
    Beznea, L
    Boboc, N
    POTENTIAL ANALYSIS, 1997, 7 (04) : 805 - 825
  • [5] SOME REMARKS ON ALMOST LINDELOF SPACES AND WEAKLY LINDELOF SPACES
    Song, Yan-Kui
    Zhang, Yun-Yun
    MATEMATICKI VESNIK, 2010, 62 (01): : 77 - 83
  • [6] On some classes of Lindelof Σ-spaces
    Kubis, Wieslaw
    Okunev, Oleg
    Szeptycki, Paul J.
    TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (14) : 2574 - 2590
  • [7] Some more examples of monotonically Lindelof and not monotonically Lindelof spaces
    Levy, Ronnie
    Matveev, Mikhail
    TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (11) : 2333 - 2343
  • [8] SOME CARDINAL INEQUALITIES IN LINDELOF SPACES
    ALAS, OT
    PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS, 1993, 704 : 1 - 5
  • [9] SOME GENERALIZATIONS OF LINDELOF AND PARACOMPACT SPACES
    PAREEK, CM
    KAUL, SK
    MONATSHEFTE FUR MATHEMATIK, 1975, 79 (02): : 131 - 137
  • [10] SOME REMARKS ON CENTERED-LINDELOF SPACES
    Song, Yan-Kui
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 24 (02): : 277 - 280