Abstract
Let J be a Jordan arc lying on the complex sphere S, and let F: S>S be a homeomorphism. In several different connections (see e.g., [4]) it has been asked if the conformality of F off J implies that F is a linear fractional transformation. The purpose of this brief note is to point out that a recent example of Rothberger [5] can be used to answer this question in the negative. Rothberger proves the
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