Open Access
2001/2002 Hausdorff Dimension, Analytic Sets and Transcendence
G. A. Edgar, Chris Miller
Real Anal. Exchange 27(1): 335-340 (2001/2002).
Abstract

Every analytic real closed proper sub-field of $\mathbb R$ has Hausdorff dimension zero. Equivalently, every analytic set of real numbers having positive Hausdorff dimension contains a transcendence base for $\mathbb R$.

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Copyright © 2001 Michigan State University Press
G. A. Edgar and Chris Miller "Hausdorff Dimension, Analytic Sets and Transcendence," Real Analysis Exchange 27(1), 335-340, (2001/2002). https://doi.org/
Published: 2001/2002
Vol.27 • No. 1 • 2001/2002
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