Pablo Candela, Harald Andrés Helfgott
Abstract
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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 dimension
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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 dimension
Key concepts: Mathematics, Dimension (graph theory), Set (abstract data type), Complex dimension, Packing dimension, Pure mathematics, Minkowski–Bouligand dimension, Mathematical analysis