# CIRCULAR DISTORTION AND THE DOUBLE DISK PROPERTY OF CURVES

• Kim, Ki-Won
• Published : 1997.02.01
• 36 4

#### Abstract

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.

#### Keywords

circular distorition;the double disk property of curves;quasidisk;quasicircle;John disk

#### References

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