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A Technique of Studying Sums of Central Cantor Sets

Open Access article
 Printed: Mar 2001
  • Razvan Anisca
  • Monica Ilie
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This paper is concerned with 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.
MSC Classifications: 11B05 show english descriptions Density, gaps, topology 11B05 - Density, gaps, topology

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