%0 Journal Article
%T Density near zero
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Bayatmanesh, Elham
%A Akbari Tootkaboni, Mohammad
%D 2018
%\ 01/01/2018
%V 09
%N 1
%P 33-43
%! Density near zero
%K The Stone-Cech compactification
%K Density
%K Piecewise syndetic set near zero
%R 10.22130/scma.2018.23682
%X 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.
%U http://scma.maragheh.ac.ir/article_23682_545b6075235df500f5ed73aa31024524.pdf