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5. Variations of Semialgebraic and Tame Sets

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Tame Geometry with Application in Smooth Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1834))

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Abstract

We study here multidimensional variations of semialgebraic and tame sets, partly following [Vit 1], [Iva 1]. The stress is lain on properties which distinguish tame sets, in particular, correlations between variations of \(\epsilon\)-neighborhood, comparison of variations of two sets with a small Hausdorff distance etc...

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Correspondence to Yosef Yomdin .

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© 2004 Springer-Verlag

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Yomdin, Y., Comte, G. (2004). 5. Variations of Semialgebraic and Tame Sets. 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_5

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  • DOI: https://doi.org/10.1007/978-3-540-40960-1_5

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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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