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There is no minimal action of Z^2 on the plane

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 نشر من قبل Frederic Le Roux
 تاريخ النشر 2010
  مجال البحث
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 تأليف 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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