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Expansive and fixed point free homeomorphisms of the plane

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  • The aim of this work is to describe the set of fixed point free homeomorphisms of the plane (preserving orientation or not) under certain expansive conditions. We find necessary and sufficient conditions for a fixed point free homeomorphism of the plane to be topologically conjugate to a translation.
    Mathematics Subject Classification: Primary: 37E30, 37D20; Secondary: 37B25.

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