Aspectos admissíveis em grupos topológicos

Abstract

In this work we will approach two classical constructions of uniform structures on a set. We will see that these structures allow us to define concepts like uniform continuity without use a metric. We will show how uniform spaces are related with admissible topological spaces, we will make use of the admissible structure to introduce the concept of lipschitz functions and we will construct a system over the set which try to approach of a metric. Moreover, we will make a study over topological groups where we will highlight their relation with the admissible topological spaces