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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Construction of minimal non-invertible skew-product maps on 2-manifolds
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by Jakub Šotola and Sergei Trofimchuk PDF
Proc. Amer. Math. Soc. 144 (2016), 723-732 Request permission

Abstract:

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.
References
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Additional Information
  • Jakub Šotola
  • Affiliation: Mathematical Institute, Silesian University in Opava, Na Rybníčku 1, 746 01, Opava, Czech Republic
  • Email: Jakub.Sotola@math.slu.cz
  • Sergei Trofimchuk
  • Affiliation: Instituto de Matemática y Fisica, Universidad de Talca, Casilla 747, Talca, Chile
  • MR Author ID: 211398
  • Email: trofimch@inst-mat.utalca.cl
  • Received by editor(s): July 16, 2014
  • Received by editor(s) in revised form: January 29, 2015
  • Published electronically: August 11, 2015
  • Communicated by: Yingfei Yi
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 723-732
  • MSC (2010): Primary 37B05; Secondary 37E99, 54H20
  • DOI: https://doi.org/10.1090/proc12749
  • MathSciNet review: 3430848