Abstract
We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T. Tyson [23, Conj. 1.2]
Citation
Leonid V. Kovalev. "Conformal dimension does not assume values between zero and one." Duke Math. J. 134 (1) 1 - 13, 15 July 2006. https://doi.org/10.1215/S0012-7094-06-13411-7
Information
Published: 15 July 2006
First available in Project Euclid: 4 July 2006
zbMATH: 1104.28002
MathSciNet: MR2239342
Digital Object Identifier: 10.1215/S0012-7094-06-13411-7
Subjects:
Primary:
51F99
Secondary:
46B20
,
47H06
Rights: Copyright © 2006 Duke University Press
