The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance

The Steiner and Gromov–Steiner ratios and Steiner subratio are fundamental characteristics of metric spaces. In this work, an attempt is made to find these ratios for the space of compacts in Euclidean space with Hausdorff metric.