A nonstandard proof of the Jordan curve theorem
Logic
2018-08-22 v1
Abstract
A new elementary nonstandard proof of the Jordan curve theorem is given. The proof (the technical part consists of 4 pages) is self-contained, except for the Jordan theorem for polygons taken for granted.
Cite
@article{arxiv.math/9608204,
title = {A nonstandard proof of the Jordan curve theorem},
author = {Vladimir Kanovei and Michael Reeken},
journal= {arXiv preprint arXiv:math/9608204},
year = {2018}
}