Central Sets Theorem near zero

被引：0
|
作者：
Bayatmanesh, E. [1 ]
Tootkaboni, M. Akbari [1 ]
机构：
[1] Shahed Univ, Fac Basic Sci, Dept Math, Tehran, Iran
来源：
TOPOLOGY AND ITS APPLICATIONS | 2018年 / 248卷
关键词：
Central Sets Theorem; The Stone-Cech compactification; C-set; J-set; Piecewise syndetic set near zero;
D O I：
10.1016/j.topol.2018.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce notions of J-set near zero and C-set near zero for a dense subsemigroup of ((0,+infinity),+) and state the Central Sets Theorem near zero. Among the other results for a dense subsemigroup S subset of ((0, +infinity), +), we give some sufficient and equivalent algebraic conditions on a subset A subset of S to be a J-set near zero and to be a C-set near zero. (C) 2018 Published by Elsevier B.V.
引用
收藏
页码：128 / 137
页数：10
相关论文
共 50 条
  • [1] Central Sets Theorem near zero
    Bayatmanesh, E.
    Tootkaboni, M. Akbari
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2016, 210 : 70 - 80
  • [2] Polynomial central set theorem near zero
    Aninda Chakraborty
    Sayan Goswami
    [J]. Semigroup Forum, 2021, 102 : 568 - 574
  • [3] Polynomial central set theorem near zero
    Chakraborty, Aninda
    Goswami, Sayan
    [J]. SEMIGROUP FORUM, 2021, 102 (02) : 568 - 574
  • [4] Central Sets Theorem Near of an Idempotent in Wap-Compactification
    Pashapournia, Ali
    Akbari Tootkaboni, Mohammad
    Ebrahimi Bagha, Davood
    [J]. JOURNAL OF FUNCTION SPACES, 2023, 2023
  • [5] Sets satisfying the Central Sets Theorem
    Hindman, Neil
    Strauss, Dona
    [J]. SEMIGROUP FORUM, 2009, 79 (03) : 480 - 506
  • [6] Sets satisfying the Central Sets Theorem
    Neil Hindman
    Dona Strauss
    [J]. Semigroup Forum, 2009, 79 : 480 - 506
  • [7] A multidimensional central sets theorem
    Beiglböck, M.
    [J]. Combinatorics Probability and Computing, 2006, 15 (06) : 807 - 814
  • [8] Small Sets Satisfying the Central Sets Theorem
    Hindman, Neil
    [J]. COMBINATORIAL NUMBER THEORY, 2009, : 57 - 63
  • [9] CARTESIAN PRODUCTS OF SETS SATISFYING THE CENTRAL SETS THEOREM
    Hindman, Neil
    Strauss, Dona
    [J]. TOPOLOGY PROCEEDINGS, VOL 35, 2010, 35 : 203 - +
  • [10] Central Sets Theorem on noncommutative semigroups
    Keshavarzian, J.
    Tootkaboni, M. A.
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2019, 30 (02): : 329 - 339
12345