Generated topology on innite sets by ultralters

Let X be an in nite set, equipped with a topology In this paper, we studied the relationship between and ultra lters on X. We can discovered, among other things, some relations of the Robinson s compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

Keywords:

Stone-  Cech compactication , Axiom of separation , Filter