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

Applying the Hric-Jäger 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.

preprint2014arXivOpen access
Jakub ŠotolaSergei Trofimchuk
math.DS
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Jakub ŠotolaSergei Trofimchuk

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