Author:
Moya-Pérez J.A.,Nuño-Ballesteros J.J.
Abstract
Let
$f\colon (\mathbb {R}^{3},0)\to (\mathbb {R}^{4},0)$
be an analytic map germ with isolated instability. Its link is a stable map which is obtained by taking the intersection of the image of
$f$
with a small enough sphere
$S^{3}_\epsilon$
centred at the origin in
$\mathbb {R}^{4}$
. If
$f$
is of fold type, we define a tree, that we call dual tree, that contains all the topological information of the link and we prove that in this case it is a complete topological invariant. As an application we give a procedure to obtain normal forms for any topological class of fold type.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献