A note on Costara's paper
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Brackx, Freddy, Pincket, Willy
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M. Katchalski, T. Lewis, A. Liu (1992)
Discrete & computational geometry
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G. Kós, J. Töröcsik (1990)
Discrete & computational geometry
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Gy. Elekes (1994)
Discrete & computational geometry
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P. Erdös, P. Fishburn (1994)
Discrete & computational geometry
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Łukasz Kosiński, Tomasz Warszawski (2013)
Annales Polonici Mathematici
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In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
P. Mani-Levitska, H.E. Debrunner (1986)
Discrete & computational geometry
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J. Friedman, N. Linial (1993)
Discrete & computational geometry
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