University of MaraghehSahand Communications in Mathematical Analysis2322-580708120171001Generated topology on infinite sets by ultrafilters43532333710.22130/scma.2017.23337ENAlirezaBagheri SalecDepartment of Mathematics, Faculty of Science, University of Qom, P.O.Box 3716146611, Qom, Iran.Journal Article20161023Let $X$ 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.https://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf