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arXiv · 1505.07309

Thin-thick decomposition for real definable isolated singularities

Lev Birbrair·Alexandre Fernandes·Vincent Grandjean
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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]

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Lev Birbrair, Alexandre Fernandes, Vincent Grandjean. 2015-05-27. Thin-thick decomposition for real definable isolated singularities. https://arxiv.org/abs/1505.07309

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