Csikós, Balázs, Kiss, György, Swanepoel, Konrad 
ORCID: 0000-0002-1668-887X 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 |
|---|---|
| Official URL: | http://www.springer.com/math/journal/10998 |
| Additional Information: | © 2009 Springer |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 09 Oct 2009 09:46 |
| Last Modified: | 11 Dec 2024 23:29 |
| URI: | http://eprints.lse.ac.uk/id/eprint/25411 |
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