Extending a Morse function to a non-orientable $3-$manifold
Geometric Topology
2017-09-12 v1 General Topology
Abstract
Considering a solid 3-dimensional Klein bottle and a collaring of its boundary, can we extend a generic non-singular function defined on the collaring to the full solid Klein bottle without critical points? We give a condition on the Reeb graph of the given function that is necessary and sufficient for the existence of such a non-singular extension.
Cite
@article{arxiv.1709.03328,
title = {Extending a Morse function to a non-orientable $3-$manifold},
author = {Clément Laroche},
journal= {arXiv preprint arXiv:1709.03328},
year = {2017}
}
Comments
Master thesis supervised by Thomas Fiedler