Federer Geometric Measure Theory Pdf Now

REPORT: Analysis of "Geometric Measure Theory" by H. Federer

Part I: Preliminaries

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Federer’s work was motivated by the desire to solve Plateau’s Problem: finding the surface of least area bounded by a given curve in higher dimensions. To do this, he moved beyond classical manifold theory into a world where "surfaces" could have singularities. federer geometric measure theory pdf