Thin-thick decomposition for real definable isolated singularities
Metric Geometry
2015-05-28 v1 Geometric Topology
Abstract
Two subset germs of Euclidean spaces are called blow-spherically equivalent, if their spherical modifications are homeomorphic and the homeomorphism induces homeomorphic tangent links. Blow-spherical equivalence is stronger than the topological equivalence but weaker than the Lipschitz equivalence. We introduce the thin-thick decomposition of an isolated singularity germ - which happens to be a natural blow-spherical invariant. This decomposition is a generalization of the thin-thick decomposition of normal complex surface singularity germs introduced in [7]
Cite
@article{arxiv.1505.07309,
title = {Thin-thick decomposition for real definable isolated singularities},
author = {Lev Birbrair and Alexandre Fernandes and Vincent Grandjean},
journal= {arXiv preprint arXiv:1505.07309},
year = {2015}
}
Comments
Related to "Collapsing Topology of Isolated Singularities" manuscript (arXiv:1208.4328)