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Minkowski versus Euclidean rank for products of metric spaces

Minkowski versus Euclidean rank for products of metric spaces

We introduce a notion of the Euclidean- and the Minkowski rank for arbitrary metric spaces and we study their behaviour with respect to products. We show that the Minkowski rank is additive with respect to metric products, while additivity of the Euclidean rank only holds under additional assumptions, e.g. for …