A generalization of the Brouwer plane translation theorem
Dynamical Systems
2024-08-16 v1
Abstract
We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translation theorem.
Keywords
Cite
@article{arxiv.2408.08183,
title = {A generalization of the Brouwer plane translation theorem},
author = {Jim Wiseman},
journal= {arXiv preprint arXiv:2408.08183},
year = {2024}
}