• Title of article

    Density near zero

  • Author/Authors

    Bayatmanesh ، Elham - Shahed University , Akbari Tootkaboni ، Mohammad - Shahed University

  • Pages
    11
  • From page
    33
  • To page
    43
  • Abstract
    Let S be a dense subsemigroup of (0, +∞). In this paper, we state definition of thick near zero, and also we will introduce a definition that is equivalent to the definition of piecewise syndetic near zero which presented by Hindman and Leader in [6]. We define density near zero for subsets of S by a collection of nonempty finite subsets of S and we investigate the conditions under these concepts.
  • Keywords
    The Stone , Cech compactification , Density , Piecewise syndetic set near zero
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Serial Year
    2018
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2454843