%0 Journal Article %T Generated topology on infinite sets by ultrafilters %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Bagheri Salec, Alireza %D 2017 %\ 10/01/2017 %V 08 %N 1 %P 43-53 %! Generated topology on infinite sets by ultrafilters %K Stone-$check{C}$ech compactification %K Axiom of separation %K Filter %R 10.22130/scma.2017.23337 %X Let $X$ be an infinite set, equipped with a topology $\tau$. In this paper we studied the relationship between $\tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts. %U https://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf