Jordan and Schoenflies in non-metrical analysis situs
General Topology
2010-10-13 v1 Geometric Topology
Abstract
We show that both, the Jordan curve theorem and the Schoenflies theorem extend to non-metric manifolds (at least in the two-dimensional context), and conclude by some dynamical applications \`a la Poincar\'e-Bendixson.
Keywords
Cite
@article{arxiv.1010.2416,
title = {Jordan and Schoenflies in non-metrical analysis situs},
author = {Alexandre Gabard and David Gauld},
journal= {arXiv preprint arXiv:1010.2416},
year = {2010}
}
Comments
14 pages, 1 figure