Vitushkin’s Conjecture for Removable Sets (Universitext)


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Joseph H. Elements of the Theory of Functions. Konrad Knopp. The Elements of Cantor Sets.

Robert W. Stationary and Related Stochastic Processes. Complex Variables.

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The Teichmüller space of the Hirsch foliation

This function is called the Ahlfors function of K. Its existence can be proved by using a normal family argument involving Montel's theorem. Let dim H denote Hausdorff dimension and H 1 denote 1-dimensional Hausdorff measure.

However, this conjecture is false. A counterexample was first given by A.

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Vitushkin , and a much simpler one by J.

Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext) Vitushkin’s Conjecture for Removable Sets (Universitext)
Vitushkin’s Conjecture for Removable Sets (Universitext)

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