On self-intersections of immersed surfaces

Li, Gui-Song

doi:10.1090/S0002-9939-98-04456-6

On self-intersections of immersed surfaces
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by Gui-Song Li PDF

Proc. Amer. Math. Soc. 126 (1998), 3721-3726 Request permission

Abstract:

A daisy graph is a union of immersed circles in 3-space which intersect only at the triple points. It is shown that a daisy graph can always be realized as the self-intersection set of an immersed closed surface in 3-space and the surface may be chosen to be orientable if and only if the daisy graph has an even number of edges on each immersed circle.

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