A technique of studying sums of central Cantor sets (Q2739246)
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scientific article; zbMATH DE number 1643708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A technique of studying sums of central Cantor sets |
scientific article; zbMATH DE number 1643708 |
Statements
24 November 2002
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subsums of an infinite series
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central Cantor set
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sums of Cantor sets
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A technique of studying sums of central Cantor sets (English)
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The main result of the paper says that the arithmetical sum \(C_1+\dots+C_k\) of a finite number of central Cantor sets \(C_1,\dots,C_k\) is a finite union of closed intervals or homeomorphic to the ternary Cantor sets of an \(M\)-Cantorval. The proof technique is based on a duality between sets of subsums of certain infinite series and central Cantor sets.
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