This paper proves that non-abelian Carnot groups have infinite Lipschitz dimension and computes the Lipschitz dimension of snowflakes, trees, buildings, and Sierpinski carpets.
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On the Lipschitz dimension of Cheeger-Kleiner
This paper proves that non-abelian Carnot groups have infinite Lipschitz dimension and computes the Lipschitz dimension of snowflakes, trees, buildings, and Sierpinski carpets.