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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeSep 2nd 2020
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexChanged paragraph regarding analytic versus algebraic proofs. I don't think it is possible to give a purely algebraic proof of Weierstrass's original theorem, whose conclusion includes the statement that the power series are convergent in some neighborhood of $0$. How could you, when this is an analytic statement? I think my edit might be what the original author intended. David Speyer <a href="https://ncatlab.org/nlab/revision/diff/Weierstrass+preparation+theorem/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Weierstrass+preparation+theorem/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Weierstrass+preparation+theorem">current</a>

   Changed paragraph regarding analytic versus algebraic proofs. I don’t think it is possible to give a purely algebraic proof of Weierstrass’s original theorem, whose conclusion includes the statement that the power series are convergent in some neighborhood of . How could you, when this is an analytic statement? I think my edit might be what the original author intended.

   David Speyer

   diff, v7, current