Geometriae Dedicata

, Volume 147, Issue 1, pp 177–185 | Cite as

Real map germs and higher open book structures

  • Raimundo Araújo dos Santos
  • Mihai TibărEmail author
Original Paper


The paper focusses on the existence of higher open book structures defined by real map germs \({\psi : (\mathbb{R}^m ,0) \to (\mathbb{R}^p ,0)}\) such that Sing \({\psi \cap \psi^{-1}(0) \subset \{0\}}\). A general existence criterion is proved, with view to weighted-homogeneous maps.


Real singularities Milnor fibration Links Open book decompositions Stratifications 

Mathematics Subject Classification (2000)

32S55 57Q45 32C40 32S60 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Instituto de Ciências Matemáticas e de ComputaçãoUniversidade de São PauloSão CarlosBrazil
  2. 2.Mathématiques, UMR-CNRS 8524Université de Lille 1Villeneuve d’AscqFrance

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