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We determine which sets saturate the Szeg}o and Schiefermayr lower bounds onthe norms of Chebyshev Polynomials. We also discuss sets that saturate theTotik--Widom upper bound.

Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szeg\H{O}, Schiefermayr, and Totik--Widom Bounds