Front Cover; Weak Convergence of Measures; Copyright Page; Table of Contents; PREFACE; CHAPTER I. SPACES, MAPPINGS, AND MEASURES; 1. CLASSES OF SETS; 2. ALEXANDROV SPACES, TOPOLOGICAL SPACES, AND MEASURABLE SPACES; 3. MAPPINGS; 4. CLASSES OF BOUNDED, REAL-VALUED, CONTINUOUS FUNCTIONS AND MEASURABLE FUNCTIONS; 5. NORMAL SPACES AND COMPLETELY NORMAL SPACES; 6. SEQUENCES OF SETS; 7. METRIC SPACES; 8. MAPPINGS INTO METRIC SPACES; 9. PRODUCT SPACES; 10. PRODUCT SPACES OF INFINITELY MANY FACTORS; 11. SOME PARTICULAR METRIC SPACES; 12. MEASURES ON AN ALGEBRA OF SUBSETS; 13. MEASURES ON A-SPACES

14. EXTENSIONS OF MEASURES15. MEASURES ON INFINITE-DIMENSIONAL PRODUCT SPACES; 16. COMPLETION OF MEASURES, CONTINUITY ALMOST SURELY AND ALMOST EVERYWHERE; CHAPTER II. INTEGRALS, BOUNDED, LINEAR FUNCTIONALS, AND MEASURES; 1. INTEGRALS AS NONNEGATIVE, BOUNDED, LINEAR FUNCTIONALS; 2. GENERALIZATIONS OF THE ABSTRACT INTEGRAL; 3. THE REPRESENTATIONS OF BOUNDED, LINEAR FUNCTIONALS BY INTEGRALS; 4. MEASURES BELONGING TO A NONNEGATIVE, BOUNDED, LINEAR FUNCTIONAL ON A NORMAL A-SPACE; 5. TRANSFORMATIONS OF MEASURES AND INTEGRALS