A note on ultrapower cardinality.
Let denote the phase space of the universal minimal dynamical system for a group . Our aim is to show that is homeomorphic to the absolute of , whenever is a countable Abelian group.
In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation of certain...