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Subfields of R with arbitrary Hausdorff dimension
Published online by Cambridge University Press: 31 March 2016
Abstract
Assuming CH, the continuum hypothesis, holds we show, by completing an attack first discovered by Roy Davies, that for each α between 0 and 1 there is a subring, in fact a subfield, of R with Hausdorff dimension α.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 1 , July 2016 , pp. 157 - 165
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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