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arXiv · 1006.2929

Quasicircles and Bounded Turning Circles Modulo bi-Lipschitz Maps

David A. Herron·Daniel Meyer
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Abstract

We construct a catalog, of snowflake type metric circles, that describes all metric quasicircles up to \bl\ equivalence. This is a metric space analog of a result due to Rohde. Our construction also works for all bounded turning metric circles; these need not be doubling. As a byproduct, we show that a metric quasicircle with Assouad dimension strictly less than two is bi-Lipschitz equivalent to a planar quasicircle.

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David A. Herron, Daniel Meyer. 2010-11-19. Quasicircles and Bounded Turning Circles Modulo bi-Lipschitz Maps. https://arxiv.org/abs/1006.2929

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