Intersection of continua and rectifiable curves

Details Intersection of continua and rectifiable curves Intersection of continua and rectifiable curves

2012-03-24

arxiv.org/abs/1203.5448v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove that for any non-degenerate continuum $K \subseteq \mathbb{R}^d$
there exists a rectifiable curve such that its intersection with $K$ has
Hausdorff dimension 1. This answers a question of B. Kirchheim.

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