×

zbMATH — the first resource for mathematics

A new proof of the Brouwer plane translation theorem. (English) Zbl 0767.58025
For a fixed-point free orientation-preserving homeomorphism of the plane Brouwer proved that every point is contained in some domain of translation. This is known as Brouwer’s plane translation theorem. The author gives a shortened new proof of this result and proves a theorem concerning Lyapunov functions for these homeomorphisms.
Reviewer: R.Cowen (Gaborone)

MSC:
37B99 Topological dynamics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.2307/2000838 · Zbl 0653.54030 · doi:10.2307/2000838
[2] DOI: 10.2307/1968772 · Zbl 0063.06074 · doi:10.2307/1968772
[3] Hurley, Ergod. Th. & Dynam. Sys. 11 pp 709– (1991)
[4] Andrea, Abh. Math. Sem. Univ. 30 pp 61– (1967)
[5] Brown, Houston J. Math. 10 pp 35– (1984)
[6] DOI: 10.1007/BF01456888 · JFM 43.0569.02 · doi:10.1007/BF01456888
[7] Fathi, L’ enseignement Math. 33 pp 315– (1987)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.