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Minkowski- versus Euclidean rank for products of metric spaces | Thomas Foertsch
; Viktor Schroeder
; | Date: |
14 Feb 2001 | Subject: | Metric Geometry | math.MG | Affiliation: | University Zurich), Viktor Schroeder (University Zurich | Abstract: | 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. | Source: | arXiv, math.MG/0102107 | Services: | Forum | Review | PDF | Favorites |
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