Can you give me an example of a homeomorphism of the extended complex plane that is not circle-preserving?
2026-04-02 16:56:35.1775148995
Example of a homeomorphism of the extended complex plane that is not circle-preserving
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The linear map given by the matrix $$\left(\begin{array}{cc}2 & 1\\ 1 & 1\end{array}\right)$$ is a homeomorphism which does not preserve circles.