A Cantor set whose polynomial hull contains no analytic discs

Alexander J. Izzo; Norman Levenberg

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arXiv · 1801.03205

A Cantor set whose polynomial hull contains no analytic discs

Alexander J. Izzo·Norman Levenberg

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Abstract

A generalization of a result of Wermer concerning the existence of polynomial hulls without analytic discs is presented. As a consequence it is shown that there exists a Cantor set $X$ in ${\mathbb C}^3$ whose polynomial hull is strictly larger than $X$ but contains no analytic discs.

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Alexander J. Izzo, Norman Levenberg. 2018-01-10. A Cantor set whose polynomial hull contains no analytic discs. https://arxiv.org/abs/1801.03205

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