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Several results concerning pairs of polynomially convex sets whose union is not even rationally convex are given.
A Jordan curve of positive area
William Fogg Osgood · 1903
Earlier work this paper cites.
Concerning the proposition that every closed, compact, and totally disconnected set of points is a subset of an arc
G. T. Whyburn · 1932
Earlier work this paper cites.
Dimension Theory
Witold Hurewicz and Henry Wallman · 1948
Earlier work this paper cites.
Elementary Topology: a first course in point set topology
Dick Hall and Guilford L. Spencer · 1955
Earlier work this paper cites.
Polynomial approximation on an arc in C 3 C^{3}
John Wermer · 1955
Earlier work this paper cites.
Subalgebras of spaces of continuous functions
Walter Rudin · 1956
Cited alongside, same era.
A hull with no analytic structure
Gabriel Stolzenberg · 1963
Cited alongside, same era.
Introduction to Function Algebras
A. Browder · 1969
Cited alongside, same era.
Uniform Algebras
Theodore W. Gamelin · 1984
Cited alongside, same era.
Several Complex Variables and Banach Algebras
H. Alexander and J. Wermer · 1998
Cited alongside, same era.
Polynomial hulls of arcs and curves II
Alexander J. Izzo
Cited in the paper.
Polynomially convex arcs in polynomially convex simple closed curves
Alexander J. Izzo and Edgar Lee Stout
Cited in the paper.
The convergence of hulls of curves
Alexander J. Izzo and Edgar Lee Stout
Cited in the paper.
Polynomial Convexity
Edgar Lee Stout · 2007
Later among the works it cites.
Presence or absence of analytic structure in maximal ideal spaces
Alexander J. Izzo, Håkan Samuelsson Kalm, and Erlend Fornæss Wold · 2016
Later among the works it cites.
A Cantor set whose polynomial hull contains no analytic discs
Alexander J. Izzo and Norman Levenberg · 2019
Later among the works it cites.
Spaces with polynomial hulls that contain no analytic discs
Alexander J. Izzo · 2020
Later among the works it cites.
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