On Pontryagin’s alternative for topological semigroups. (Russian) Zbl 0669.22001
Pontryagin’s alternative is well known: If a locally compact group G contains a dense cyclic subgroup, then G is compact or discrete. In this paper it is shown that the analog of such an alternative for semigroups is false.
Reviewer: G.Soifer
MSC:
22A15 | Structure of topological semigroups |