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Proper minimal sets on compact connected 2-manifolds are nowhere dense
Published online by Cambridge University Press: 01 June 2008
Abstract
Let be a compact connected two-dimensional manifold, with or without boundary, and let be a continuous map. We prove that if is a minimal set of the dynamical system then either or M is a nowhere dense subset of . Moreover, we add a shorter proof of the recent result of Blokh, Oversteegen and Tymchatyn, that in the former case is a torus or a Klein bottle.
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- Copyright © Cambridge University Press 2008
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