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arXiv 0810.2711math.CVmath.MG
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雪球是准球

Snowballs are Quasiballs

Daniel Meyer

摘要:

我们引入雪球,这是紧集$\R^3$同胚的单位球。它们是由雪花曲线界定的平面中的域的三维类似物。对于每个雪球$B$,构造将$B$映射到单位球的拟共形映射$f\colon \R^3\to \R^3$。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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