Density near zero
Journal: Sahand Communications in Mathematical Analysis (Vol.9, No. 1)Publication Date: 2018-01-01
Authors : Elham Bayatmanesh; Mohammad Akbari Tootkaboni;
Page : 33-43
Keywords : The Stone-Cech compactification; Density; Piecewise syndetic set near zero;
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 [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.
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Last modified: 2018-02-03 20:15:59