Аннотация:
In this note, we discuss the topology of Diophantine numbers, giving simple explicit
examples of Diophantine isolated numbers (among those with the same Diophantine constants),
showing that Diophantine sets are not always Cantor sets.
General properties of isolated Diophantine numbers are also briefly discussed.
Ключевые слова:Diophantine sets, Diophantine conditions, Cantor sets, KAM theory, small divisor
problems
Список литературы