Extending Immersions into the Sphere

Details Extending Immersions into the Sphere Extending Immersions into the Sphere

2010-12-22

arxiv.org/abs/1012.4923v1

Mathematics

Geometric Topology

Scientific paper

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.

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