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arXiv · 1407.4674

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

Jakub Šotola·Sergei Trofimchuk
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Abstract

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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Jakub Šotola, Sergei Trofimchuk. 2014-07-17. Construction of minimal non-invertible skew-product maps on 2-manifolds. https://doi.org/10.1090/proc12749

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