The Erdős-Heilbronn problem for finite groups
Paul Balister, Jeffrey Paul Wheeler (2009)
Acta Arithmetica
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Displaying similar documents to “An abstract and generalized approach to the Vitali theorem on nonmeasurable sets”
The Erdős-Heilbronn problem for finite groups
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Each reference is followed by a list of the paragraphs referring to it.
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On the dimension of additive sets
P. Candela, H. A. Helfgott (2015)
Acta Arithmetica
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We study the relations between several notions of dimension for an additive set, some of which are well-known and some of which are more recent, appearing for instance in work of Schoen and Shkredov. We obtain bounds for the ratios between these dimensions by improving an inequality of Lev and Yuster, and we show that these bounds are asymptotically sharp, using in particular the existence of large dissociated subsets of {0,1}ⁿ ⊂ ℤⁿ.