for every \epsilon > 0. An asymptotic basis A of order h is minimal if no proper subset of A is an asymptotic basis of order h. It is proved that there does not exist a sequence A that is simultaneously a minimal basis of orders 2,3, and 4. Several open problems concerning minimal bases are also discussed.
Classif.: * 11B13 Additive bases
Keywords: minimal asymptotic bases
© European Mathematical Society & FIZ Karlsruhe & Springer-Verlag
|Books||Problems||Set Theory||Combinatorics||Extremal Probl/Ramsey Th.|
|Graph Theory||Add.Number Theory||Mult.Number Theory||Analysis||Geometry|
|Probabability||Personalia||About Paul Erdös||Publication Year||Home Page|