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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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The hull of Rudin’s Klein bottle
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by John T. Anderson PDF
Proc. Amer. Math. Soc. 140 (2012), 553-560 Request permission

Abstract:

In 1981 Walter Rudin exhibited a totally real embedding of the Klein bottle into $\mathbb {C}^2$. We show that the polynomially convex hull of Rudin’s Klein bottle contains an open subset of $\mathbb {C}^2$. We also describe another totally real Klein bottle in $\mathbb {C}^2$ whose hull has topological dimension equal to three.
References
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Additional Information
  • John T. Anderson
  • Affiliation: Department of Mathematics and Computer Science, College of the Holy Cross, Worcester, Massachusetts 01610
  • MR Author ID: 251416
  • Email: anderson@mathcs.holycross.edu
  • Received by editor(s): November 20, 2010
  • Published electronically: June 2, 2011
  • Communicated by: Franc Forstneric
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 553-560
  • MSC (2010): Primary 32E20; Secondary 32V40
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10998-5
  • MathSciNet review: 2846323