Dissecting the 2-sphere by immersions

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The self intersection of an immersion i: S2 → ℝ dissects S 2 into pieces which are planar surfaces (unless i is an embedding). In this work we determine what collections of planar surfaces may be obtained in this way. In particular, for every n we construct an immersion i: S2 → ℝ with 2n triple points, for which all pieces are discs.

Original languageEnglish
Pages (from-to)37-41
Number of pages5
JournalGeometriae Dedicata
Issue number1
StatePublished - Jun 2007


  • Immersions of the 2-sphere


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