A model with no strongly separable almost disjoint families

被引：0
|
作者：
Dilip Raghavan
机构：
[1] University of Toronto,Department of Mathematics
来源：
Israel Journal of Mathematics | 2012年 / 189卷
关键词：
Pairwise Disjoint; Initial Segment; Regular Cardinal; Force Notion; Independent Family;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We answer a question of Shelah and Steprāns [6] by producing a model of ZFC where there are no strongly separable almost disjoint families. The notion of a strongly separable almost disjoint family is a natural variation on the well known notion of a completely separable almost disjoint family, and is closely related to the metrization problem for countable Fréchet groups.
引用
收藏
页码：39 / 53
页数：14
相关论文
共 50 条
  • [31] ANALYTIC AND COANALYTIC FAMILIES OF ALMOST DISJOINT FUNCTIONS
    Kastermans, Bart
    Steprans, Juris
    Zhang, Yi
    JOURNAL OF SYMBOLIC LOGIC, 2008, 73 (04) : 1158 - 1172
  • [32] Partition subalgebras for maximal almost disjoint families
    Dow, A
    Zhou, JY
    ANNALS OF PURE AND APPLIED LOGIC, 2002, 117 (1-3) : 223 - 259
  • [33] SPECIAL-CLASS OF ALMOST DISJOINT FAMILIES
    LEATHRUM, TE
    JOURNAL OF SYMBOLIC LOGIC, 1995, 60 (03) : 879 - 891
  • [34] ALMOST DISJOINT FAMILIES AND DIAGONALIZATIONS OF LENGTH CONTINUUM
    Raghavan, Dilip
    BULLETIN OF SYMBOLIC LOGIC, 2010, 16 (02) : 240 - 260
  • [35] Almost disjoint families and the geometry of nonseparable spheres
    Guzman, Osvaldo
    Hrusak, Michael
    Koszmider, Piotr
    JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (11)
  • [36] Cofinitary groups, almost disjoint and dominating families
    Hrusák, M
    Steprans, J
    Zhang, Y
    JOURNAL OF SYMBOLIC LOGIC, 2001, 66 (03) : 1259 - 1276
  • [37] ALMOST DISJOINT REFINEMENT OF FAMILIES OF SUBSETS OF N
    BALCAR, B
    VOJTAS, P
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 79 (03) : 465 - 470
  • [38] MAD FAMILIES CONSTRUCTED FROM PERFECT ALMOST DISJOINT FAMILIES
    Brendle, Joerg
    Khomskii, Yurii
    JOURNAL OF SYMBOLIC LOGIC, 2013, 78 (04) : 1164 - 1180
  • [39] Maximal almost disjoint families, determinacy, and forcing
    Haga, Karen Bakke
    Schrittesser, David
    Tornquist, Asger
    JOURNAL OF MATHEMATICAL LOGIC, 2022, 22 (01)
  • [40] Almost disjoint families and "never" cardinal invariants
    Morgan, Charles
    Da Silva, Samuel Gomes
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2009, 50 (03): : 433 - 444
12345