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arXiv · 0807.3662

Homotopy Type of Disentanglements of Multi-germs

Kevin Houston
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Abstract

For a complex analytic map f from n-space to p-space with n<p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogous to the Milnor fibre for functions. For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the same is true for a large class of multi-germs.

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Kevin Houston. 2008-07-23. Homotopy Type of Disentanglements of Multi-germs. https://doi.org/10.1017/s0305004109002540

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