Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893615 | Journal of Geometry and Physics | 2007 | 11 Pages |
Abstract
We study the possibility of defining tangent vectors to a metric space at a given point and tangent maps to applications from a metric space into another metric space. Such infinitesimal concepts may help in analysing situations in which no obvious differentiable structure is at hand. Some examples are presented; our interest arises from hyperspaces in particular. Our approach is simple and relies on the selection of appropriate curves. Comparisons with other notions are briefly pointed out.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jean-Paul Penot,