Dissecting the 2-sphere by immersions

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dc.creatorNowik, Tahl
dc.date2006-12-27
dc.date.accessioned2026-07-07T07:37:17Z
dc.date.available2026-07-07T07:37:17Z
dc.descriptionThe self intersection of an immersion i : S^2 \to R^3 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 : S^2 \to R^3 with 2n triple points, for which all pieces are discs.
dc.identifierhttps://arxiv.org/abs/math/0612796
dc.identifierhttp://arxiv.org/abs/math/0612796
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120722
dc.subjectGeometric Topology
dc.titleDissecting the 2-sphere by immersions
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