Tangent spaces to metric spaces and to their subspaces

Abstract

We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have isometric tangent spaces in a common point of these subspaces are completely determinated.

18 pages

Cited by in corpus (7)

• Metric spaces with unique pretangent spaces
• Uniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point
• On statistical convergence of metric valued sequences
• Uniform boundedness of pretangent spaces and local strong one-side porosity
• Isometric embeddings of pretangent spaces in E^n
• Local one-side porosity and pretangent spaces
• On equivalence of unbounded metric spaces at infinity