Peano curves with smooth footprints

被引：0

作者：

Bochi, Jairo ^{[1
]}

Milet, Pedro H. ^{[2
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

[2] Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rio De Janeiro, Brazil

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 180卷 / 04期

关键词：

Space-filling curves; Smoothness; Convexity; Line fields;

D O I：

10.1007/s00605-016-0899-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct Peano curves whose "footprints" , , have boundaries and are tangent to a common continuous line field on the punctured plane . Moreover, these boundaries can be taken -close to any prescribed smooth family of nested smooth Jordan curves contracting to a point.

引用

页码：693 / 712

页数：20

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