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arxiv: math/0404533 · v1 · pith:TTV3GUU7 · submitted 2004-04-29 · math.MG · math.GT

On fractal Peano curves

Evgeny Shchepin This is my paper

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classification math.MG math.GT
keywords fractalunitcontinuouscurveseveryintervalmappingonto
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It is proved that for every fractal continuous mapping F: I\to I^2 of the unit interval onto the unit square there is a pair of points x,y\in I, such that |F(x)-F(y)|^2\ge 5|x-y|.

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