On fractal Peano curves

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dc.creatorShchepin, Evgeny
dc.date2004-04-29
dc.date.accessioned2026-07-07T05:07:48Z
dc.date.available2026-07-07T05:07:48Z
dc.descriptionIt 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|.
dc.description11 pages, in Russian, to appear in Proc. Steklov Math. Inst
dc.identifierhttps://arxiv.org/abs/math/0404533
dc.identifierhttp://arxiv.org/abs/math/0404533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71008
dc.subjectMetric Geometry
dc.subjectGeometric Topology
dc.subject28A80
dc.titleOn fractal Peano curves
dc.typetext

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