Topological Triviality of Families of Singular Surfaces. arXiv:math/0611699
Preprint, arXiv:math/0611699 [math.CV] (2006).
Summary: We study the topological triviality of families of singular surfaces in \({\mathbb C}^3\) parametrized by \(\mathcal A\)-finitely determined map germs. We prove that the constancy of the Milnor number of the double point locus characterizes the topological triviality of the family.
MSC:
| 58K40 | Classification; finite determinacy of map germs |
| 58K65 | Topological invariants on manifolds |
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