In this article, we introduce a new notion of (strong) absolute derivative, for functions derived 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 phase; derivative; Hausdorff measure; Hausdorff Besicovitch dimension; metric-preserving functions
Article - Journal
© 2012 University of Houston, All rights reserved.
01 Jan 2012