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Conformal dimension does not assume values between zero and one
Leonid V. Kovalev
Source: Duke Math. J. Volume 134, Number 1 (2006), 1-13.
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]
Primary Subjects: 51F99
Secondary Subjects: 47H06, 46B20
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1152018503
Digital Object Identifier: doi:10.1215/S0012-7094-06-13411-7
Mathematical Reviews number (MathSciNet):
MR2239342
Zentralblatt MATH identifier:
1104.28002
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