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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 Riemannian manifolds. We also study products with nonstandard product metrics.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Euclidean rank of metric spaces; Minkowski rank of metric spaces|
|Deposited On:||29 Nov 2010 17:27|
|Last Modified:||27 Nov 2013 19:59|
|Free access at:||Related URL. An embargo period may apply.|
|Citations:||Web of Science®. Times Cited: 2|
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