A NOTE ON UNIFORM STATISTICAL LIMIT POINTS

Abstract

In this paper, we study the concept of a uniform statistical limit point of a sequence. We present some results about the set of uniform statistical limit points of a sequence and about constructing a (sub)sequence with a prescribed set of uniform statistical limit points. Also, we study the relationship between the set of uniform statistical limit points of a sequence and its subsequences. We give some analogous results concerning (non-uniform) statistical limit points of a sequence and connect to some earlier known results about the same.