Geodesic metric space

This article defines a property that can be evaluated for a metric space

Definition

Symbol-free definition

A geodesic metric space is a metric space if it satisfies the following equivalent conditions:

• Given any two points, there is a path between them whose length equals the distance between the points
• Fill this in later

Relation with other properties

Stronger properties

• Uniquely geodesic metric space

Weaker properties

• Length-metric space