The hull of Rudin’s Klein bottle

Anderson, John

doi:10.1090/S0002-9939-2011-10998-5

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.

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