Abstract
In the last chapter we proved a regularity theorem for dimensions n ≦ 7. However we said nothing about the regularity in higher dimensions which is our task in this chapter. We prove that the H k measure of the singular set is zero for all k > n − 8 and so actually include the results of the previous chapter.
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© 1984 Springer Science+Business Media New York
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Giusti, E. (1984). The Dimension of the Singular Set. In: Minimal Surfaces and Functions of Bounded Variation. Monographs in Mathematics, vol 80. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9486-0_11
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DOI: https://doi.org/10.1007/978-1-4684-9486-0_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3153-6
Online ISBN: 978-1-4684-9486-0
eBook Packages: Springer Book Archive