Jan Hejcman
On simple recognizing of bounded sets

Comment.Math.Univ.Carolinae 38,1 (1997) 149-156.

Abstract:We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.

Keywords: uniform space, commutative topological group, bounded set, B-conservative space, uniform partition
AMS Subject Classification: 54E15, 22A05