Absolute Differentiation in Metric Spaces

Author

Wlodzimierz J. Charatonik, Missouri University of Science and TechnologyFollow
Matt Insall, Missouri University of Science and TechnologyFollow

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. © 2012 University of Houston.

Recommended Citation

W. J. Charatonik and M. Insall, "Absolute Differentiation in Metric Spaces," Houston Journal of Mathematics, vol. 38, no. 4, pp. 1313 - 1328, University of Houston, Dec 2012.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Derivative; Hausdorff measure; Hausdorff-besicovitch dimension; Metric; Metric space; Metric-preserving functions

International Standard Serial Number (ISSN)

0362-1588

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 University of Houston, All rights reserved.

Publication Date

01 Dec 2012