Inverse semigroups of metrics on doubles related to certain subsets
Metric Geometry
2023-06-28 v1
Abstract
Recently we have shown that the equivalence classes of metrics on the double of a metric space form an inverse semigroup. Here we define an inverse subsemigroup related to a family of isometric subspaces of , 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.
Cite
@article{arxiv.2212.01863,
title = {Inverse semigroups of metrics on doubles related to certain subsets},
author = {V. Manuilov},
journal= {arXiv preprint arXiv:2212.01863},
year = {2023}
}
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9 pages