MathDB3 problems
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Kleiner's conjecture on attainment of conformal dimension
Kleiner's conjecture. Approximately self-similar and combinatorially Loewner metric spaces attain their conformal dimension.
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Kleiner–Bourdon–Kleiner conjecture on the Combinatorial Loewner Property
Kleiner–Bourdon–Kleiner conjecture. If satisfies the Combinatorial Loewner Property, then is quasisymmetric to an Ahlfors regular Loewner space.
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The combinatorial Loewner property implies quasi-Möbius equivalence to a Loewner space
CLP-to-Loewner conjecture. If satisfies the CLP, then is quasi-Möbius equivalent to a Loewner space.