Connected topological group
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
A topological group is termed connected if it satisfies the following equivalent conditions:
- It is connected as a topological space.
- The connected component of the identity element equals the whole group.
Equivalence of definitions
Definitions (1) and (2) are clearly equivalent.