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arxiv: 1407.4674 · v1 · pith:APWK2CI6new · submitted 2014-07-17 · 🧮 math.DS

Construction of minimal non-invertible skew-product maps on 2-manifolds

classification 🧮 math.DS
keywords minimalnon-invertibleconstructionadditionaffirmativeageranswerapplying
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Applying the Hric-J\"ager blow up technique, we give an affirmative answer to the question about the existence of non-invertible minimal circle-fibered self-maps of the Klein bottle. In addition, we present a simpler construction of a non-invertible minimal self-map of two dimensional torus.

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