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replacing redirect Holomorphic to dab page with appropriate destination Holomorphic function |
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In [[complex analysis]], the '''open mapping theorem''' states that if ''U'' is a [[Domain (mathematical analysis)|___domain]] of the [[complex plane]] '''C''' and ''f'' : ''U'' → '''C''' is a non-constant [[holomorphic
The open mapping theorem points to the sharp difference between holomorphy and real-differentiability. On the [[real line]], for example, the differentiable function ''f''(''x'') = ''x''<sup>2</sup> is not an open map, as the image of the [[open interval]] (−1, 1) is the half-open interval [0, 1).
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