A Technique of Studying Sums of Central Cantor Sets
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 12-18

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2001-002-8
Mots-clés : 11B05
Anisca, Razvan; Ilie, Monica. A Technique of Studying Sums of Central Cantor Sets. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 12-18. doi: 10.4153/CMB-2001-002-8
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