2010/12/22 by Dennis Frisch, Frisch, Dennis
Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #Advanced Numerical Analysis Techniques #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1012.4923
We study the problem to extend an immersed circle f in the 2-dimensional sphere to an immersion of the disc. We analyze existence and uniqueness for this problems in terms of the combinatorial structure of a word assigned to f. Our techniques are based on ideas of Blank who studied the extension problem in case of a planar target.