Equilateral sets in Minkowski spaces
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- by C. M. Petty PDF
- Proc. Amer. Math. Soc. 29 (1971), 369-374 Request permission
Abstract:
The structure of equilateral sets in an n-dimensional Minkowski space ${M^n}$ is shown to be closely related to the properties of antipodal sets. The range of the cardinality of maximal equilateral sets in ${M^n}$ is obtained and a subset characterization of antipodal sets is derived and applied to equilateral sets.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 369-374
- MSC: Primary 52.50
- DOI: https://doi.org/10.1090/S0002-9939-1971-0275294-8
- MathSciNet review: 0275294