Csikós, Balázs, Kiss, György, Swanepoel, Konrad and Oloff de Wet, P.
(2009)
*Large antipodal families.*
Periodica Mathematica Hungarica, 58 (2).
pp. 129-138.
ISSN 0031-5303

Identification Number: 10.1007/s10998-009-10129-9

## Abstract

A family {A i | i ∈ I} of sets in ℝ d is antipodal if for any distinct i, j ∈ I and any p ∈ A i , q ∈ A j , there is a linear functional ϕ:ℝ d → ℝ such that ϕ(p) ≠ ϕ(q) and ϕ(p) ≤ ϕ(r) ≤ ϕ(q) for all r ∈ ∪ i∈I A i . We study the existence of antipodal families of large finite or infinite sets in ℝ3.

Item Type: | Article |
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Official URL: | http://www.springer.com/math/journal/10998 |

Additional Information: | © 2009 Springer |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 09 Oct 2009 09:46 |

Last Modified: | 20 Feb 2019 09:10 |

URI: | http://eprints.lse.ac.uk/id/eprint/25411 |

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