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Density near zero

Journal: Sahand Communications in Mathematical Analysis (Vol.9, No. 1)

Publication Date:

Authors : ; ;

Page : 33-43

Keywords : The Stone-Cech compactification; Density; Piecewise syndetic set near zero;

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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 [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.

Last modified: 2018-02-03 20:15:59