与某些子集相关的双精度上的度量逆半群

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-06-18 DOI:10.1134/S1061920823020097

V. Manuilov

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引用次数: 0

摘要

最近我们证明了度量空间\(X\)的二重上的度量等价类形成了一个逆半群。在此，我们定义了一个与\(X\)的一组等距子空间相关的逆子半群，它更易于计算。作为一种特殊情况，我们研究了从基点出发的测地线射线族的这个子半群，适用于欧氏空间和树。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverse Semigroups of Metrics on Doubles Related to Certain Subsets

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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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.