Stabilisation of geometric directional bundle for a subanalytic set
Stabilisation of geometric directional bundle for a subanalytic set
复制标题
亚解析集几何方向束的稳定性
DOI：
10.1016/j.topol.2021.107988
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发表时间：
2022
影响因子：
0.6
通讯作者：
Laurentiu Paunescu
中科院分区：
文献类型：
--
作者：
Satoshi Koike;Laurentiu Paunescu
在前面的文[8]中，我们引入了奇异空间的几何方向丛的概念，以引入全局双Lipschitz不变量。然后，我们提出了一个问题，即几何方向丛作为作用于奇异空间的操作是否是稳定的。本文在奇异空间是次解析集的情况下给出了一个肯定的答案，从而提供了一个新的与次解析集有关的不变量。
In the previous paper [8] we have introduced the notion of geometric directional bundle of a singular space, in order to introduce global bi-Lipschitz invariants. Then we have posed the question of whether or not the geometric directional bundle is stabilised as an operation acting on singular spaces. In this paper we give a positive answer in the case where the singular spaces are subanalytic sets, thus providing a new invariant associated with the subanalytic sets.