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...
Keywords
- Tangent Cone
- Require Inequality
- Algebraic Complexity
- Lelong Number
- Multidimensional Variation
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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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