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arXiv 0901.3456math.CA
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关于Besicovitch集参数化的一个注记

A note on the parameterisation of Besicovitch sets

Toby C. O'Neil

摘要:

针对Terry Tao在他的博客上提出的一个问题(并以否定的方式回答),即是否有可能在一组零区域内连续旋转一条线段,我们证明了平面上存在一组零区域,在该区域内,一条线段可以被Baire-1映射旋转。

英文摘要:

In response to a question raised (and answered in the negative) by Terry Tao on his blog as to whether it is possible to rotate a line segment continuously within a set of area zero, we show that there is a set of area zero in the plane within which a line segment can be rotated by a Baire-1 map.

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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