Real polynomial maps and singular open books at infinity

preprint2014arXivOpen access

Abstract

We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres SRm−1S^{m-1}_R of large enough radius RR. We obtain new classes of real polynomial maps Rm→Rp\mathbb R^m \to \mathbb R^p which induce such structures.

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