Article
Absolute Differentiation in Metric Spaces
Houston Journal of Mathematics
Editor(s)
Kaiser, Klaus
Abstract
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.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- metric,
- metric phase,
- derivative,
- Hausdorff measure,
- Hausdorff Besicovitch dimension,
- metric-preserving functions
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2012 University of Houston, All rights reserved.
Publication Date
1-1-2012
Publication Date
01 Jan 2012
Disciplines
Citation Information
W. J. Charatonik and Matt Insall. "Absolute Differentiation in Metric Spaces" Houston Journal of Mathematics (2012) Available at: http://works.bepress.com/matt-insall/2/