Об отображениях, сохраняющих метрический порядок

We define mappings that preserve metric order and show that they determine the classification of metric spaces. It is proved that the cardinality of set of nontrivial isometries of hyperspace with Hausdorff metric over the metric space $X$ depends only on the metric order of $X$. We also deduce some properties of mappings that preserve metric order of continua.