ON SOME ALGEBRAIC PROPERTIES OF LOCALLY COMPACT AND WEAKLY LINEARLY COMPACT TOPOLOGICAL ABELIAN GROUPS

摘要

Locally compact and weakly linearly compact topological groups are studied. The notion of a weakly linearly compact topological Abelian group is a generalization of the notion of a weakly separable topological Abelian group, introduced by N. Ya. Vilenkin.