Abstract
By associating with an affine dependence the resultant of a related probability measure, we are able to define the set of divisible points, D(K), of a compact convex set K. Some general properties of D(K) are discussed, and its equivalence with a set recently introduced by Reay for convex polytopes demonstrated. For polytopes, D(K) is a continuous image of a projective space. A conjecture concerning D(K) is settled affirmatively for cubes.
Original language | English |
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Pages (from-to) | 351-365 |
Number of pages | 15 |
Journal | Israel Journal of Mathematics |
Volume | 54 |
Issue number | 3 |
DOIs | |
Publication status | Published - Oct 1986 |