Abstract
The Brouwer’s plane translation theorem asserts that for a fixed point free orientation preserving homeomorphism f of the plane, every point belongs to a proper topological imbedding C of R, disjoint from its image and separating $f(C)$ and $f^{-1}(C)$. Such a curve is called a Brouwer line. We prove that we can construct a foliation of the plane by Brouwer lines.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Le Calvez, P. Une version feuilletée du théorème de translation de Brouwer . Comment. Math. Helv. 79, 229–259 (2004). https://doi.org/10.1007/s00014-003-0745-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00014-003-0745-9