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
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.