Metric spaces in which minimal circuits cannot self-intersect
نویسندگان
چکیده
منابع مشابه
Metric Spaces in Which Minimal Circuits Cannot Self-intersect
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 a...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1976-0414425-8