A counterexample to a conjecture of Larman and Rogers on sets avoiding distance 1
Journal Article
(2019)
Author(s)
F.M. de Oliveira Filho (TU Delft - Discrete Mathematics and Optimization)
Frank Vallentin (University of Cologne)
Research Group
Discrete Mathematics and Optimization
DOI related publication
https://doi.org/10.1112/S0025579319000160
To reference this document use:
https://resolver.tudelft.nl/uuid:62fbc425-c656-4eb3-b6e8-7ddf7ced8c8f
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Publication Year
2019
Language
English
Research Group
Discrete Mathematics and Optimization
Issue number
3
Volume number
65
Pages (from-to)
785-787
Abstract
For each (Formula presented.) we construct a measurable subset of the unit ball in (Formula presented.) that does not contain pairs of points at distance 1 and whose volume is greater than (Formula presented.) times the volume of the unit ball. This disproves a conjecture of Larman and Rogers from 1972.
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