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Hausdorff dimension of Cantor sets and polynomial hulls

Author(s): Burglind Jöricke
Journal: Proc. Amer. Math. Soc. 134 (2006), 1347-1354.
MSC (2000): Primary 32E20; Secondary 46J15, 46J20
Posted: October 7, 2005
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Abstract: We give examples of Cantor sets in $ \mathbb{C}^n$ of Hausdorff dimension 1 whose polynomial hulls have non-empty interior.

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Additional Information:

Burglind Jöricke
Affiliation: Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden
Email: joericke@math.uu.se

DOI: 10.1090/S0002-9939-05-08102-5
PII: S 0002-9939(05)08102-5
Keywords: Cantor sets, polynomial hulls, Hausdorff dimension.
Received by editor(s): November 25, 2004
Posted: October 7, 2005
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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