# Singular open book structures from real mappings

Research paper by Mihai Tibar, Ying Chen, Raimundo N. Araújo dos Santos

Indexed on: 17 Sep '13Published on: 17 Sep '13Published in: Mathematics - Algebraic Geometry

#### Abstract

We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings $\psi$ with positive dimensional singular locus $\Sing \psi \subset \psi^{-1}(0)$, for which the Milnor fibration exists and yields an open book structure with singular binding.