On fractal Peano curves
Reviewed by Pithpith:TTV3GUU7open to challenge →
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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