When is a Discrete Bounded Subgroup of an LCA Group Necessarily a Topological Direct Summand?
Document Type
Peer-Reviewed Article
Publication Date
11-2000
Abstract
We establish necessary and sufficient conditions for a discrete bounded subgroup of an LCA (locally compact abelian) group to be a topological direct summand. This yields a characterization of splitting LCA groups whose torsion part is discrete.
Recommended Citation
Loth, P. (2000). When is a discrete bounded subgroup of an LCA group necessarily a topological direct summand? Far East Journal of Mathematical Sciences (FJMS), 2(6), 929-934.
