JournalscmhVol. 79, No. 2pp. 229–259

Une version feuilletée du théorème de translation de Brouwer

  • Patrice Le Calvez

    Université de Paris XIII/CNRS, Villetaneuse, France
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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)f(C) and f1(C)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.

Cite this article

Patrice Le Calvez, Une version feuilletée du théorème de translation de Brouwer. Comment. Math. Helv. 79 (2004), no. 2, pp. 229–259

DOI 10.1007/S00014-003-0745-9