Normalizing Topologically Minimal Surfaces III: Bounded Combinatorics
Geometric Topology
2013-03-28 v1
Abstract
We show that there are a finite number of possible pictures for a surface in a tetrahedron with local index . Combined with previous results, this establishes that any topologically minimal surface can be transformed into one with a particular normal form with respect to any triangulation.
Cite
@article{arxiv.1303.6643,
title = {Normalizing Topologically Minimal Surfaces III: Bounded Combinatorics},
author = {David Bachman},
journal= {arXiv preprint arXiv:1303.6643},
year = {2013}
}
Comments
30 pages, 14 figures. This is the third and final paper of a series