Geodesic in the Gromov-Hausdorff class for which the real line is an interior point

TL;DR

This paper constructs a geodesic in the Gromov-Hausdorff class where the real line with its natural metric is an interior point, advancing understanding of metric space geometry.

Contribution

It introduces a specific geodesic in the Gromov-Hausdorff class demonstrating the real line as an interior point, a novel example in metric geometry.

Findings

Real line is an interior point in the constructed geodesic

Provides a new example of geodesic in Gromov-Hausdorff space

Enhances understanding of the structure of metric space classes

Abstract

In this note we construct a geodesic line in the Gromov-Hausdorff class for which the real line with a natural metric is an interior point.