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Rudin and nonsense
Posted:
Apr 28, 2012 4:34 AM
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Theorem 1.29 in Rudin is a direct consequence of Rudin's *choice* to identify (x,0) and x -- a decision of which he informed the reader just moments before in the note after Theorem 1.26.
The use of that choice can be seen in the proof that starts with a + bi = (a,0) + ...
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