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arXiv · 2212.01863

Inverse semigroups of metrics on doubles related to certain subsets

V. Manuilov
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Abstract

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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V. Manuilov. 2022-12-04. Inverse semigroups of metrics on doubles related to certain subsets. https://doi.org/10.1134/s1061920823020097

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