Title

Absolute Differentiation in Metric Spaces.

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Metric; metric space; derivative; Hausdorff measure; Hausdorff-Besicovitch dimension; Metric-preserving functions

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 University of Houston, All rights reserved.

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