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On self-intersections of immersed surfaces
Author(s):
Gui-Song
Li
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3721-3726.
MSC (1991):
Primary 57M42
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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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Additional Information:
Gui-Song
Li
Affiliation:
Institute of Systems Science, Academia Sinica, Beijing 100080, People's Republic of China
Email:
lgs@iss06.iss.ac.cn
DOI:
10.1090/S0002-9939-98-04456-6
PII:
S 0002-9939(98)04456-6
Keywords:
Immersed surface,
self-intersection set,
daisy graph
Received by editor(s):
October 15, 1996
Received by editor(s) in revised form:
April 7, 1997
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
1998,
American Mathematical Society
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