Singular open book structures from real mappings

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 $\Sing ψ\subset ψ^{-1}(0)$, for which the Milnor fibration exists and yields an open book structure with singular binding.

more remarks

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• On singular maps with local fibration
• Fibrations of tamely composable maps
• Tame deformations of highly singular function germs
• Global index of real polynomials
• Some remarks about $\rho$-regularity for real analytic maps