Conformal dimension does not assume values between zero and one

Leonid V. Kovalev

doi:10.1215/S0012-7094-06-13411-7

Conformal dimension does not assume values between zero and one

Leonid V. Kovalev

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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].

Original language	English (US)
Pages (from-to)	1-13
Number of pages	13
Journal	Duke Mathematical Journal
Volume	134
Issue number	1
DOIs	https://doi.org/10.1215/S0012-7094-06-13411-7
State	Published - Jul 15 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1215/S0012-7094-06-13411-7

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Conformal dimension does not assume values between zero and one

Abstract

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