REAL POLYNOMIAL MAPS AND SINGULAR OPEN BOOKS AT INFINITY

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

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Veröffentlicht in:Mathematica Scandinavica 2016-03, Vol.118 (1), p.57-69
Hauptverfasser: DOS SANTOS, RAIMUNDO N. ARAÚJO, CHEN, YING, TIBĂR, MIHAI
Format: Artikel
Sprache:eng
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Zusammenfassung:We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres $S_R^{m - 1}$ of large enough radius R. We obtain new classes of real polynomial maps Rm → Rp which induce such structures.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-23296