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Register a new userThere is no minimal action of Z^2 on the plane
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Authors
Frederic Le Roux
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In this paper it is proved that there is no minimal action (i.e. every orbit is dense) of Z^2 on the plane. The proof uses the non-existence of minimal homeomorphisms on the infinite annulus (Le Calvez-Yoccozs theorem), and the theory of Brouwer homeomorphisms.
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