More on ideal limit points

被引:0
|
作者
He, Xi [1 ]
Zhang, Hang [2 ]
Zhang, Shuguo [3 ]
机构
[1] Nanyang Inst Technol, Sch Math & Sci, 80 Changjiang Rd, Nanyang 473004, Peoples R China
[2] Southwest Jiaotong Univ, Sch Math, Xipu Campus,West Pk, Chengdu 610756, Peoples R China
[3] Sichuan Univ, Coll Math, 24 South Sect 1,Yihuan Rd, Chengdu 610065, Peoples R China
关键词
Ideal limit points; Ideal cluster points; P plus; WeaklyP plus;
D O I
10.1016/j.topol.2022.108324
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we continue the study of ideal limit points. We introduce a new combinatorial property of ideals called weakly P+, and investigate the relation between P+, weakly P+ and the complexity of ideal limit points. Moreover, we clarify the relation between ideal limit points, ideal cluster points and ordinary ideal limit points. Finally, we investigate the projective hierarchy of ideal limit points. (c) 2022 Elsevier B.V. All rights reserved.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] On the relationship between ideal cluster points and ideal limit points
    Balcerzak, Marek
    Leonetti, Paolo
    TOPOLOGY AND ITS APPLICATIONS, 2019, 252 : 178 - 190
  • [2] Invariance of ideal limit points
    Leonetti, Paolo
    TOPOLOGY AND ITS APPLICATIONS, 2019, 252 : 169 - 177
  • [3] The Borel complexity of ideal limit points
    He, Xi
    Zhang, Hang
    Zhang, Shuguo
    TOPOLOGY AND ITS APPLICATIONS, 2022, 312
  • [4] Bicritical rational maps: Dynamical limits and ideal limit points of period m curves
    Kabelka, Anja
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (5-6) : 647 - 653
  • [5] Special α-limit points and unilateral γ-limit points for graph maps
    Sun TaiXiang
    Xi HongJian
    Liang HaiLan
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (09) : 2013 - 2018
  • [6] Special α-limit points and unilateral γ-limit points for graph maps
    SUN TaiXiang 1
    2 Department of Mathematics
    ScienceChina(Mathematics), 2011, 54 (09) : 2013 - 2018
  • [7] Generalized Ideal Points
    Skulimowski, Andrzej M. J.
    14TH INTERNATIONAL GLOBAL OPTIMIZATION WORKSHOP (LEGO), 2019, 2070
  • [8] Special α-limit points and unilateral γ-limit points for graph maps
    TaiXiang Sun
    HongJian Xi
    HaiLan Liang
    Science China Mathematics, 2011, 54 : 2013 - 2018
  • [9] Commensurate ideal points
    Bechtel, GG
    Lyons-Lepke, EM
    JOURNAL OF ECONOMIC PSYCHOLOGY, 2003, 24 (03) : 377 - 389
  • [10] The ideal conductor limit
    Jancovici, B
    Tellez, G
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (06): : 1155 - 1166