Topologically cyclic group

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This article defines a property that can be evaluated for a topological group (usually, a T0 topological group)
View a complete list of such properties

Definition

A topological group (usually a T0 topological group) is termed topologically cyclic or topologically monogenic if there exists a dense cyclic subgroup.

Any cyclic group is topologically cyclic, irrespective of the topology.

Relation with other properties

Weaker properties