Extending Immersions into the Sphere
Geometric Topology
2010-12-23 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1012.4923,
title = {Extending Immersions into the Sphere},
author = {Dennis Frisch},
journal= {arXiv preprint arXiv:1012.4923},
year = {2010}
}