Dissecting the 2-sphere by immersions

Tahl Nowik

doi:10.1007/s10711-007-9153-9

Dissecting the 2-sphere by immersions

Tahl Nowik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 language	English
Pages (from-to)	37-41
Number of pages	5
Journal	Geometriae Dedicata
Volume	127
Issue number	1
DOIs	https://doi.org/10.1007/s10711-007-9153-9
State	Published - Jun 2007

Keywords

Immersions of the 2-sphere

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10.1007/s10711-007-9153-9

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Dissecting the 2-sphere by immersions

Abstract

Keywords

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