Singular open book structures from real mappings
Mihai Tibăr, Ying Chen, Raimundo N. Araújo dos Santos · HAL (Le Centre pour la Communication Scientifique Directe) · 2010
We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings $ψ$ with positive dimensional singular locus $\Sing ψ\subset ψ^{-1}(0)$, for which the Milnor fibration exists and yields an open book structure with singular binding.