Path-connected 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 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