Tame Geometry with Application in Smooth Analysis

The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an &...

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Detaylı Bibliyografya
Asıl Yazarlar: Yomdin, Yosef, Comte, Georges, 1947- (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1834
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Not: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Tame geometry with application in smooth analysis, Yosef Yomdin, Georges Comte, 2004, Berlin, Springer, 1 vol. (VIII-186 p.), Lecture notes in mathematics, 3-540-20612-4
• Tame Geometry with Application in Smooth Analysis, Texte imprimé, 9783662214480
İçindekiler:
  • Preface
  • Introduction and Content
  • Entropy
  • Multidimensional Variations
  • Semialgebraic and Tame Sets
  • Some Exterior Algebra
  • Behavior of Variations under Polynomial Mappings
  • Quantitative Transversality and Cuspidal Values for Polynomial Mappings
  • Mappings of Finite Smoothness
  • Some Applications and Related Topics
  • Glossary
  • References.