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تسجيل مستخدم جديدChows Theorem Revisited
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We present a proof of Chows theorem using two results of Errett Bishop retated to volumes and limits of analytic varieties. We think this approach suggested a long time ago in the beautiful book by Gabriel Stolzenberg, is very attractive and easier for students and newcomers to understand, also the theory presented here is linked to areas of mathematics that are not usually associated with Chows theorem. Furthermore, Bishops results imply both Chows and Remmert-Steins theorems directly, meaning that this approach is more economic and just as profound as Remmert-Steins proof. At the end of the paper there is a comparison table that explains how Bishops theorems generalize to several complex variables classical results of one complex variable.
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