Definition:Grötzsch Annulus

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Let $R \in \R_{>1}$.

The set:

$A := \set {z \in \C: \cmod z > 1 \text{ and } z \notin \hointr R {+\infty} }$

is called a Grötzsch annulus.

Also known as

A Grötzsch annulus can also seen referred to as a Grötzsch extremal domain.

Also see

Source of Name

This entry was named for Camillo Herbert Grötzsch.