부산대학교 도서관

In this paper a connection between equilateral and antipodal sets in an $n$-dimensional Minkowski space $M^n$ is established. (A subset of a metric space is called equilateral if every two points of the subset have the same distance between them. A subset $S$ of an $n$-dimensional real linear space is said to be antipodal if for each $p,g\in S$ there exist disjoint parallel support hyperplanes $P,Q$ such that $p\in P$, $g\in Q$.) A certain characterization of equilateral sets in $M^n$ which are strictly antipodal, and the cardinality of maximal equilateral sets in $M^n$, are also given.