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Complementary components of polynomial hulls

Richard F. Basener

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Source: Crossref

Published: May 1, 1978

DOI: 10.1090/s0002-9939-1978-0466626-2

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Source abstract

Let X be a compact subset of the unit sphere S in C n , n > 1 {{\mathbf {C}}^n},n > 1 . It is shown that if a point z is not in the polynomially convex hull of X , then there is a complementary component U of X in S such that z is not in the hull of S U .

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Complementary components of polynomial hulls — Mathematical Frontier Network