Ultrametricity and metric betweenness in tangent spaces to metric spaces

TL;DR

This paper investigates the properties of pretangent spaces in metric spaces, establishing an ultrametricity criterion linked to metric betweenness, advancing understanding of tangent space structures.

Contribution

It introduces a new ultrametricity criterion for pretangent spaces, connecting it to metric betweenness in tangent space analysis.

Findings

Ultrametricity criterion for pretangent spaces established

Connection between ultrametricity and metric betweenness demonstrated

Provides new insights into tangent space structures in metric spaces

Abstract

The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in the pretangent spaces.