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

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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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     author = {Anisca, Razvan and Ilie, Monica},
     title = {A {Technique} of {Studying} {Sums} of {Central} {Cantor} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {12--18},
     year = {2001},
     volume = {44},
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     doi = {10.4153/CMB-2001-002-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-002-8/}
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