No CrossRef data available.
Article contents
TOPOLOGY OF 1-PARAMETER DEFORMATIONS OF NON-ISOLATED REAL SINGULARITIES
Published online by Cambridge University Press: 30 July 2021
Abstract
Let
$f\,{:}\,(\mathbb R^n,0)\to (\mathbb R,0)$
be an analytic function germ with non-isolated singularities and let
$F\,{:}\, (\mathbb{R}^{1+n},0) \to (\mathbb{R},0)$
be a 1-parameter deformation of f. Let
$ f_t ^{-1}(0) \cap B_\epsilon^n$
,
$0 < \vert t \vert \ll \epsilon$
, be the “generalized” Milnor fiber of the deformation F. Under some conditions on F, we give a topological degree formula for the Euler characteristic of this fiber. This generalizes a result of Fukui.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
References
REFERENCES
