Stabilisation of geometric directional bundle for a subanalytic set
Algebraic Geometry
2021-05-04 v1
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.
Keywords
Cite
@article{arxiv.2105.00359,
title = {Stabilisation of geometric directional bundle for a subanalytic set},
author = {Satoshi Koike and Laurentiu Paunescu},
journal= {arXiv preprint arXiv:2105.00359},
year = {2021}
}
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15 pages