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arXiv:1203.5448 [math.CA]AbstractReferencesReviewsResources

Intersection of continua and rectifiable curves

Richárd Balka, Viktor Harangi

Published 2012-03-24Version 1

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.

Journal: Proc. Edinb. Math. Soc. (2) 57 (2014), no. 2, 339-345
Categories: math.CA
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