Record number :
2410056
Title of article :
Density near zero
Author/Authors :
- - نويسنده Department of Mathematics, Faculty of Basic Science, Shahed University, Tehran, Iran. Bayatmanesh Elham , - - نويسنده Department of Mathematics, Faculty of Basic Science, Shahed University, Tehran, Iran. Akbari Tootkaboni Mohammad
Pages :
11
From page :
33
Abstract :
-
Abstract :
Let $S$ be a dense subsemigroup of $(0,+infty)$. 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 cite{Hin-Lead}.  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.
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