On linearly Lindelof and strongly discretely Lindelof spaces

被引：31
|
作者：
Arhangel'skii, AV [1 ]
Buzyakova, RZ
机构：
[1] Moscow MV Lomonosov State Univ, Dept Math, Moscow 119899, Russia
[2] Ohio Univ, Dept Math, Athens, OH 45701 USA
[3] Moscow MV Lomonosov State Univ, Fac Mech Math, Chair Gen Topol & Geometry, Moscow 119899, Russia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 08期
关键词：
Lindelof space; linearly Lindelof space; free sequence; G(2)omega-set; first countability; complete accumulation point;
D O I：
10.1090/S0002-9939-99-04783-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the cardinality of every first countable linearly Lindelof Tychonoff space does not exceed 2(omega), and every strongly discretely Lindelof Tychonoff space of countable tightness is Lindelof.
引用
收藏
页码：2449 / 2458
页数：10
相关论文
共 50 条
  • [1] WEAKLY LINEARLY LINDELOF MONOTONICALLY NORMAL SPACES ARE LINDELOF
    Juhasz, Istvan
    Tkachuk, Vladimir V.
    Wilson, Richard G.
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2017, 54 (04) : 523 - 535
  • [2] On the cardinality of almost discretely Lindelof spaces
    Bella, Angelo
    Spadaro, Santi
    [J]. MONATSHEFTE FUR MATHEMATIK, 2018, 186 (02): : 345 - 353
  • [3] Sequentially linearly Lindelof spaces
    Kojman, M
    Lubitch, V
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2003, 128 (2-3) : 135 - 144
  • [4] Weakly linearly Lindelof spaces revisited
    Tkachuk, V. V.
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2019, 256 : 128 - 135
  • [5] Remarks on weakly linearly Lindelof spaces
    Xuan, Wei-Feng
    Song, Yan-Kui
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2019, 262 : 41 - 49
  • [6] A NOTE ON DISCRETELY ABSOLUTELY STAR-LINDELOF SPACES
    Song, Yan-Kui
    [J]. MATEMATICKI VESNIK, 2011, 63 (03): : 219 - 222
  • [7] Embedding into discretely absolutely star-Lindelof spaces
    Song, Yan-Kui
    [J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2007, 48 (02): : 303 - 309
  • [8] Small locally compact linearly Lindelof spaces
    Kunen, Kenneth
    [J]. TOPOLOGY PROCEEDINGS, VOL 29, NO 1, 2005, 2005, 29 (01): : 193 - 198
  • [9] Remarks on discretely absolutely star-Lindelof spaces
    Song, Yan-Kui
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (03) : 823 - 831
  • [10] A first countable linearly Lindelof not Lindelof topological space
    Pavlov, Oleg
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (16) : 2205 - 2209
12345