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On self-intersections of immersed surfaces |
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| Authors: | Gui-Song Li |
| Institution: | Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China |
| 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. |
| Keywords: | Immersed surface self-intersection set daisy graph |
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