Steiner type ratios of Gromov–Hausdorff spaceстатья
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Дата последнего поиска статьи во внешних источниках: 24 июля 2019 г.
Аннотация:Optimal Connections Problem in the Gromov--Hausdorff space of metric compacta is investigated. To study Gromov--Hausdorff distances the technique of irreducible correspondences and relations with the finite-dimensional space with $\max$-norm are used. As a result it is shown that the Steiner and the Gromov--Steiner ratios of the Gromov--Hausdorff space are equal to $1/2$, but the Steiner subratio is less than $1$. Moreover, a smaller estimate for the Steiner subratio is obtained.