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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)

37B99 Topological dynamics
Full Text: DOI
[1] DOI: 10.2307/2000838 · Zbl 0653.54030 · doi:10.2307/2000838
[2] DOI: 10.2307/1968772 · Zbl 0063.06074 · doi:10.2307/1968772
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