Metric Spaces in Which Minimal Circuits Cannot Self-intersect
نویسنده
چکیده
Definitions are given for self-intersecting polygons and cogeodesic points in terms of betweenness, and then it is proved that the metric spaces in which minimal polygons on a finite number of distinct noncoigeodesic points are not self-intersecting are completely characterized as those metric spaces which have the following betweenness property for any four distinct points: if b is between a and c and between a and d then either c is between a and d or d is between a and c.
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