TAME GEOMETRY WITH APPLICATION IN SMOOTH ANALYSIS
INTRODUCTION AND CONTENT MOTIVATIONS CONTENT AND ORGANIZATION OF THE BOOK THE MOTION PLANING PROBLEM IN ROBOTICS AS AN EXAMPLE A PROOF OF THE MORSE-SARD THEOREM IN THE SIMPLEST CASE ENTROPY MULTIDIMENSIONAL VARIATIONS SEMIALGEBRAIC AND TAME SETS VARIATIONS OF SEMIALGEBRAIC AND TAME SETS SOME EXTERIOR ALGEBRA BEHAVIOUR OF VARIATIONS UNDER POLYNOMIAL MAPPINGS QUANTITATIVE TRANSVERSALITY AND CUSPIDAL VALUES MAPPINGS OF FINITE SMOOTHNESS SOME APPLICATIONS AND RELATED TOPICS 10 1 APPLICATIONS OF QUANTITATIVE SARD AND TRANSVERSALITY THEOREMS 10 1 1 MAXIMA OF SMOOTH FAMILIES 10 1 2 AVERAGE TOPOLOGICAL COMPLEXITY OF ?BERS 10 1 3 QUANTITATIVE KUPKA-SMALE THEOREM 10 1 4 POSSIBLE APPLICATIONS IN NUMERICAL ANALYSIS 10 2 SEMIALGEBRAIC COMPLEXITY OF FUNCTIONS 10 2 1 SEMIALGEBRAIC COMPLEXITY 10 2 2 SEMIALGEBRAIC COMPLEXITY AND SARD THEOREM 10 2 3 COMPLEXITY OF FUNCTIONS ON IN?NITE-DIMENSIONAL SPACES 10 3 ADDITIONAL DIRECTIONS 10 3 1 ASYMPTOTIC CRITICAL VALUES OF SEMIALGEBRAIC AND TAME MAPPINGS 10 3 2 MORSE-SARD THEOREM IN SOBOLEV SPACES 10 3 3 FROM GLOBAL TO LOCAL: REAL EQUISINGULARITY 10 3 4 CK REPARAMETRIZATION OF SEMIALGEBRAIC SETS 10 3 5 BERNSTEIN-TYPE INEQUALITIES FOR ALGEBRAIC FUNCTIONS 10 3 6 POLYNOMIAL CONTROL PROBLEMS 10 3 7 QUANTITATIVE SINGULARITY THEORY REFERENCES