Some Applications and Related Topics

10.1.1 Maxima of smooth families......Page 2
10.1.2 Average topological complexity of fibers......Page 3
10.1.3 Quantitative Kupka-Smale Theorem......Page 4
10.1.4 Possible Applications in Numerical Analysis......Page 6
10.2 Semialgebraic Complexity of Functions......Page 18
10.2.1 Semialgebraic Complexity......Page 19
10.2.2 Semialgebraic Complexity and Sard Theorem......Page 22
10.2.3 Complexity of Functions on Infinite-Dimensional Spaces......Page 23
10.3.1 Asymptotic Critical Values of Semialgebraic and Tame Mappings......Page 25
10.3.2 Morse-Sard Theorem in Sobolev Spaces......Page 26
10.3.3 From Global to Local: Real Equisingularity......Page 27
10.3.4 $C^k$ Reparametrization of Semialgebraic Sets......Page 28
10.3.5 Bernstein-Type Inequalities for Algebraic Functions......Page 29
10.3.6 Polynomial Control Problems......Page 31
10.3.7 Quantitative Singularity Theory......Page 35