Abstract
We define in this chapter the multidimensional variations, study their properties and show how the \(\epsilon\)-entropy of a subset \(A\) of \(\mathbb{R}^n\) can be bounded in terms of variations of \(A\). This form one of the main technical tools used in this book.
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© 2004 Springer-Verlag
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Yomdin, Y., Comte, G. (2004). 3. Multidimensional Variations. In: Tame Geometry with Application in Smooth Analysis. Lecture Notes in Mathematics, vol 1834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40960-1_3
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DOI: https://doi.org/10.1007/978-3-540-40960-1_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20612-5
Online ISBN: 978-3-540-40960-1
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