论文标题

与某些子集相关的双打的指标的反向半群

Inverse semigroups of metrics on doubles related to certain subsets

论文作者

Manuilov, V.

论文摘要

最近,我们已经表明,在度量空间的双重$ x $ dybe a iverse Semigroup的双重指标类别上的等效类别。在这里,我们定义了与$ x $的等距子空间家族相关的逆亚元素,这是更可计算的。作为一个特殊情况,我们研究了与从底座,欧几里得空间和树木开始的地质射线家族有关的这个子群。

Recently we have shown that the equivalence classes of metrics on the double of a metric space $X$ form an inverse semigroup. Here we define an inverse subsemigroup related to a family of isometric subspaces of $X$, which is more computable. As a special case, we study this subsemigroup related to the family of geodesic rays starting from the basepoint, for Euclidean spaces and for trees.

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