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arXiv · 2105.00359

Stabilisation of geometric directional bundle for a subanalytic set

Satoshi Koike·Laurentiu Paunescu
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Abstract

In a previous paper 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.

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Satoshi Koike, Laurentiu Paunescu. 2021-05-01. Stabilisation of geometric directional bundle for a subanalytic set. https://arxiv.org/abs/2105.00359

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