Abstract
In a paper from 1954 Marstrand proved that if K ⊂ R 2 has a Hausdorff dimension greater than 1, then its one-dimensional projection has a positive Lebesgue measure for almost all directions. In this article, we give a combinatorial proof of this theorem when K is the product of regular Cantor sets of class C 1 + α , α > 0 , for which the sum of their Hausdorff dimension is greater than 1.
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