A Cantor set Associated With Sierpinski's Algorithm |
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Authors: | Shiu P. |
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Affiliation: | Department of Mathematical Sciences Loughborough University Loughborough LE11 3TU |
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Abstract: | W. Sierpiski showed that each x in 0<x1 has a representation1/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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