INTERSECTION OF CONTINUA AND RECTIFIABLE CURVES

被引：2
|
作者：
Balka, Richard [1 ]
Harangi, Viktor [1 ]
机构：
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2014年 / 57卷 / 02期
基金：
匈牙利科学研究基金会;
关键词：
continuum; rectifiable curve; Hausdorff dimension;
D O I：
10.1017/S0013091513000527
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for any non-degenerate continuum K subset of R-d there exists a rectifiable curve such that its intersection with K has Hausdorff dimension 1. This answers a question of Kirchheim.
引用
收藏
页码：339 / 345
页数：7
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