Resumen de On the arithmetic sum of middle-cantor sets

Eduardo Muñoz, Jaime Vera, Sergio Plaza Salinas

• In this article we study the arithmetic sum (difference) set K⍺ + Kβ  in I = [0, 1] in terms of the parameters (⍺, β) ∊  I x I, where K⍺ and Kβ are middle-Cantor sets contained in I. We describe two regions, A and B, in the parameter space (⍺, β)  where the characterization of the arithmetic sum set K⍺ + Kβ  is given.