Chain conditions on subgroups of LCA groups
Chain conditions on subgroups of LCA groups
In this paper, we study ace (ascending chain condition) and dec (descending chain condition) on different types of subgroups of LCA (locally compact abelian) groups, such as open subgroups, compact subgroups, discrete subgroups, metrizable subgroups, closed divisible subgroups, proper dense subgroups.We characterize compactly generated LCA groups as the class of …