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 |
arXiv data are taken from the
arXiv OAI-PMH API.
If you found a mistake, please
report it directly to arXiv.