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A simple example concerning the upper box-counting dimension of a Cartesian product. (English) Zbl 1384.28008

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.

MSC:

28A75 Length, area, volume, other geometric measure theory
28A80 Fractals
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