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Vitushkin-Type Theorems

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2116))

Abstract

It is shown that for a subset \(A \subset \mathbb{R}^{n}\) that has the global Gabrielov property, a Vitushkin-type estimate holds. Concrete examples are given for sub-level sets of certain classes of functions.

2010 Mathematics Subject Classification: 14P10, 26B15 (primary), and 14R10, 26D05, 42105 (secondary)

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References

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Acknowledgements

This research was partially supported by ISF grant No. 639/09 and by the Minerva foundation.

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Correspondence to Omer Friedland .

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Friedland, O., Yomdin, Y. (2014). Vitushkin-Type Theorems. In: Klartag, B., Milman, E. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 2116. Springer, Cham. https://doi.org/10.1007/978-3-319-09477-9_12

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