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math.MG2007★ 9 cited
Spaces and groups with conformal dimension greater than one
John M. Mackay
We show that if a complete, doubling metric space is annularly linearly connected then its conformal dimension is greater than one, quantitatively. As a consequence, we answer a qu…
math.MG2007★ 18 cited
Existence of quasi-arcs
John M. Mackay
We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.