Abstract
Given a generic immersionf:S 1→S 2 of a circle into the sphere, we find the best possible lower estimation for the number of triple points of a generic immersionF: (M, S 1)→(B 3,S 2) extendingf, whereM is an oriented surface with boundary ∂M=S 1,B 3 is the 3-dimensional ball with boundaryS 2.
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Supported by the Hungarian National Science and Research Foundation OTKA 2505
Supported by the Hungarian National Science and Research Foundation OTKA T4232
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Csikós, B., Szűcs, A. On the number of triple points of an immersed surface with boundary. Manuscripta Math 87, 285–293 (1995). https://doi.org/10.1007/BF02570475
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DOI: https://doi.org/10.1007/BF02570475