Path-connected 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
Definition
A path-connected group or path-connected topological group is a topological group whose underlying topological space is a path-connected space.
Relation with other properties
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| Connected topological group |