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Background from Geometric Measure Theory

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Abstract

The role of the first chapter is to collect the notions and results from geometric measure theory which will be needed in the sequel. Most definitions and results from this chapter can be found in the Federer’s book [Fed69] and/or in the book of Krantz and Parks [KP08]. Other sources will be cited when needed. Most of these results are presented without proofs.

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References

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Rataj, J., Zähle, M. (2019). Background from Geometric Measure Theory. In: Curvature Measures of Singular Sets. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-18183-3_1

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