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A Technique of Studying Sums of Central Cantor Sets
Published online by Cambridge University Press: 20 November 2018
Abstract
This paper is concernedwith the structure of the arithmetic sum of a finite number of central Cantor sets. The technique used to study this consists of a duality between central Cantor sets and sets of subsums of certain infinite series. One consequence is that the sum of a finite number of central Cantor sets is one of the following: a finite union of closed intervals, homeomorphic to the Cantor ternary set or an $M$-Cantorval.
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- Copyright © Canadian Mathematical Society 2001
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