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• W2313967098 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 Brouwer line: a proper topological embedding C of R, disjoint from its image and separating f(C) and f–1(C). Suppose that f commutes with the elements of a discrete group G of orientation preserving homeomorphisms acting freely and properly on the plane. We will construct a G-invariant topological foliation of the plane by Brouwer lines. We apply this result to give simple proofs of previous results about area-preserving homeomorphisms of surfaces and to prove the following theorem: any Hamiltonian homeomorphism of a closed surface of genus g ≥ 1 has infinitely many contractible periodic points." @default.
• W2313967098 created "2016-06-24" @default.
• W2313967098 creator A5088382792 @default.
• W2313967098 date "2005-12-01" @default.
• W2313967098 modified "2023-10-10" @default.
• W2313967098 title "Une version feuilletée équivariante du théorème de translation de Brouwer" @default.
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• W2313967098 doi "https://doi.org/10.1007/s10240-005-0034-1" @default.
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