About R-bounded Topological Groups

Abstract

Selection principles in topological groups have been developing intensively in recent years. In topological group theory, there are so-called left, right, two-sided, and universal uniform structures. In this article, we use these uniform structures to study R-bounded topological groups.
Key Words: Uniform space, topological group, cover, M-boundedness, ω-boundedness, R-boundedness,
homomorphism, uniformly continuous mapping.