Simply 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 topological group is termed a simply connected group if its underlying topological space is a simply connected space.
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| contractible group |
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| path-connected group | ||||
| connected topological group |