Tame Geometry with Application in Smooth Analysis

• Main Authors: Yomdin, Yosef (Author, http://id.loc.gov/vocabulary/relators/aut), Comte, Georges (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1834
• Subjects: Algebraic geometry.; Measure theory.; Functions of real variables.; Functions of complex variables.; Algebraic Geometry.; Measure and Integration.; Real Functions.; Several Complex Variables and Analytic Spaces.

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 &...

Table of Contents:

• 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.