Same Gaps, Different Sets: A Survey on Complimentary sets and their Dimensions

Nicolás Angelini, Carlos Cabrelli, Ursula Molter

Let a=\{a_n\} be a non-increasing sequence of positive real numbers adding up to $1$. Cutting out of the unit interval disjoint open gaps of lengths $a_1,a_2,\dots$, one for each t…