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A Cantor set Associated With Sierpinski's Algorithm |
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| Authors: | Shiu P |
| Institution: | Department of Mathematical Sciences Loughborough University Loughborough LE11 3TU |
| Abstract: | W. Sierpi ski showed that each x in 0<x 1 has a representation 1/a1...ak is an increasing sequence of positive integers. Weshow that the subset of numbers x for which(ak) is strictlyincreasing is a Cantor set. |
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