In <20130227b@crcomp.net>, on 02/27/2013 at 11:20 PM, Don Kuenz <garbage@crcomp.net> said:
>Let S(z) be a Moebius transformation. My old textbook suggests >choosing S(oo) so that S(z) has a limit at oo. That's about the >only role for infinity in a Moebius transformation.
IMHO the easiest way to visualize it is to consider the Riemann Sphere as a complex manifold with two coördinate neighborhoods: C and C+\{0}. From this perspective there's nothing special about either 0 or oo.
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