Metric Properties of the Stereographic Projection

We have previously constructed the stereographic projection (   • The Stereographic Projection onto the Exte...  ). Now we discuss the metric properties of this mapping. Namely, we are able to compute the distance between any two points in the extended complex plane with the topology induced by this mapping. This will provide an essential tool for us to understand rational functions. #mikethemathematician, #mikedabkowski, #profdabkowski, #complexanalysis, #stereographicprojection