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arXiv · 2002.07120

Fibration theorems \`a la Milnor for differentiable maps with non-isolated singularities

JosÉ Luis Cisneros-Molina·AurÉlio Menegon·JosÉ Seade·Jawad Snoussi
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Abstract

We prove fibration theorems \`a la Milnor for differentiable real maps with non isolated critical values. We study the situation for maps with linear discriminant, and prove that the concept of d-regularity is the key point for the existence of a Milnor fibration on the sphere. We also explain how one can modify the target space by homeomorphisms to linearize a general discriminant. Whenever the composed map is d-regular one has fibration on the sphere. Plenty of examples are discussed along the text.

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BibTeXRIS

JosÉ Luis Cisneros-Molina, AurÉlio Menegon, JosÉ Seade, Jawad Snoussi. 2020-02-17. Fibration theorems \`a la Milnor for differentiable maps with non-isolated singularities. https://arxiv.org/abs/2002.07120

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