Regularity of the Reduced Boundary
In this chapter we establish some further important properties of the reduced boundary ∂*E. We show first that ∂*E may be written, up to a set of |D ϕE |-measure zero, as a countable union of C1 hypersurfaces [DG2].
KeywordsMeasure Zero Hausdorff Measure Countable Union Lipschitz Continuous Function Dimensional Hausdorff Measure
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