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In this paper we present a series of seemingly unrelated results of ComplexAnalysis which are in fact connected via a different approach to their proofsusing the results of Errett Bishop of volumes and limits of analytic varieties.We start by proving Chow's theorem by a technique suggested long time ago inthe beautiful book by Gabriel Stolzenberg. We think this approach is veryattractive and easier for students and newcomers to understand; also the theorypresented here is linked to areas of mathematics that are not usuallyassociated with Chow's result. In addition, Bishop's results imply both Chow'sand Remmert-Stein's theorems directly, meaning that this view is simpler andjust as profound as Remmert-Stein's proof. After that, we give a comparisontable that explains how Bishop's theorems generalize to several complexvariables classical results of one complex variable and prove Montel'scompactness theorem using the techniques presented here. Finally we give analternative proof of a theorem of Edwards, Millet and Sullivan of foliationswith compact leaves for the case of complex foliations in K\"ahler manifolds.

Errett Bishop theorems on Complex Analytic Sets: Chow's Theorem Revisited and Foliations with all leaves Compact on K\"ahler Manifolds