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arXiv · 0810.2711

Snowballs are Quasiballs

Daniel Meyer
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Abstract

We introduce snowballs, which are compact sets in $\R^3$ homeomorphic to the unit ball. They are 3-dimensional analogs of domains in the plane bounded by snowflake curves. For each snowball $B$ a quasiconformal map $f\colon \R^3\to \R^3$ is constructed that maps $B$ to the unit ball.

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Daniel Meyer. 2009-11-23. Snowballs are Quasiballs. https://arxiv.org/abs/0810.2711

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