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.
Original language | English |
---|---|
Pages (from-to) | 785-787 |
Number of pages | 3 |
Journal | Mathematika |
Volume | 65 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2019 |