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2. There is no minimal action of ℤ2 on the plane.

Author

ROUX, FRÉDÉRIC LE

Subjects
PLANE geometry, HOMEOMORPHISMS, MATHEMATICAL analysis, EXISTENCE theorems, ERGODIC theory, MANIFOLDS (Mathematics)
Abstract

We prove that there is no minimal action of ℤ2 by homeomorphisms on the plane. This may be seen as a generalization of Le Calvez–Yoccoz’s theorem: there exists no minimal homeomorphism of the infinite annulus. [ABSTRACT FROM PUBLISHER]

Published
2012
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