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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
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Category: math
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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
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Date available: 2009-09-24T21:06:45Z
Last updated: 2015-09-04
Stable URL: http://hdl.handle.net/10338.dmlcz/126119
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Reference: [1] S. Saks: Theory of the integral.Dover Publications, 1964. MR 0167578
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