Subfields of R with arbitrary Hausdorff dimension
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.
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2016-07, Vol.161 (1), p.157-165 |
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| container_title | Mathematical proceedings of the Cambridge Philosophical Society |
| container_volume | 161 |
| creator | MAULDIN, R. DANIEL |
| description | 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. |
| doi_str_mv | 10.1017/S0305004116000207 |
| format | Article |
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| identifier | ISSN: 0305-0041 |
| ispartof | Mathematical proceedings of the Cambridge Philosophical Society, 2016-07, Vol.161 (1), p.157-165 |
| issn | 0305-0041 1469-8064 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Continuums Geometry Mathematical analysis |
| title | Subfields of R with arbitrary Hausdorff dimension |
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