A simple example concerning the upper box-counting dimension of a Cartesian product (Q1704450)
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scientific article; zbMATH DE number 6848847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple example concerning the upper box-counting dimension of a Cartesian product |
scientific article; zbMATH DE number 6848847 |
Statements
A simple example concerning the upper box-counting dimension of a Cartesian product (English)
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9 March 2018
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The authors provide an example of two countable sets \(X\) and \(Y\) on the real axis such that the upper box-counting dimension of \(X\times Y\) is strictly lesser than the sum of their upper box-counting dimensions.
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box-counting dimension
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fractal dimension
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Cartesian products
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0.84918135
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0.8460338
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0.83706886
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0.8351933
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