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An area formula in metric spaces. (English) Zbl 1231.28007

Summary: We present an area formula for continuous mappings between metric spaces, under minimal regularity assumptions. In particular, we do not require any notion of differentiability. This is a consequence of a measure-theoretic notion of Jacobian, defined as the density of a suitable “pull-back measure”. Finally, we give some applications and examples.

MSC:

28A75 Length, area, volume, other geometric measure theory
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