A note on the parameterisation of Besicovitch sets

Mathematics – Classical Analysis and ODEs

Scientific paper

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2 pages, no figures

Scientific paper

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.

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