Absolute Differentiation in Metric Spaces.
In this article, we introduce a new notion of (strong) absolute derivative, for functions defined between metric spaces, and we investigate various properties and uses of this concept, especially regarding the geometry of abstract metric spaces carrying no other structure.
W. J. Charatonik and M. Insall, "Absolute Differentiation in Metric Spaces.," Houston Journal of Mathematics, University of Houston, Jan 2012.
Mathematics and Statistics
Keywords and Phrases
Metric; metric space; derivative; Hausdorff measure; Hausdorff-Besicovitch dimension; Metric-preserving functions
Article - Journal
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