• 제목/요약/키워드: the double disk property of curves

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CIRCULAR DISTORTION AND THE DOUBLE DISK PROPERTY OF CURVES

  • Kim, Ki-Won
    • 대한수학회지
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    • 제34권1호
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    • pp.43-55
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    • 1997
  • Suppose that D is a domain in the extended complex plane $\overline{C} = C \cup {\infty}$. For each $z_0 \in C$ and $C < r < \infty$, we let $B(z_0, r) = {z \in C : $\mid$z - z_0$\mid$ < r}$ and $S(z_0, r) = \partial B(z_0, r)$. For non-empty sets A, $B \subset \overling{C}$, diam (A) is the diameter of A and d(A, B) is the distance of A and B.

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