# Article

 Title: The Hausdorff dimension of some special plane sets (English) Author: Mařík, Jan Language: English Journal: Mathematica Bohemica ISSN: 0862-7959 Volume: 119 Issue: 4 Year: 1994 Pages: 359-366 Summary lang: English . Category: math . Summary: A compact set $T\subset \bold R^2$ is constructed such that each horizontal or vertical line intersects $T$ in at most one point while the $\alpha$-dimensional measure of $T$ is infinite for every $\alpha \in (0,2)$. (English) Keyword: Hausdorff dimension Keyword: compact plane set Keyword: Hausdorff measure MSC: 28A05 MSC: 28A78 idZBL: Zbl 0813.28001 idMR: MR1316587 . Date available: 2009-09-24T21:06:45Z Last updated: 2015-09-04 Stable URL: http://hdl.handle.net/10338.dmlcz/126119 . Reference: [1] S. Saks: Theory of the integral.Dover Publications, 1964. MR 0167578 .

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