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Minkowski- versus Euclidean rank for products of metric spaces

Authors
  • Foertsch, Thomas
  • Schroeder, Viktor
Type
Preprint
Publication Date
Feb 14, 2001
Submission Date
Feb 14, 2001
Identifiers
arXiv ID: math/0102107
Source
arXiv
License
Unknown
External links

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.

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