Preface to Volume 2
Chapter 6. Borel, Baire and Souslin sets
　tric and topological Spaces
　rel sets
　ire sets
　ducts of topological spaces
　6.5. Countably generated a-algebras
　6.6. Souslin sets and their separation
　6.7. Sets in Souslin spaceS
　ppings of Souslin spaces
　asurable choice theorems
　pplements and exercises
　　Borel and Baire sets (43). Souslin setsas projeCtio
(46)./C-analytic
　　and F-analytic sets (49). Blackwell spaces (50). Mappings of
Souslin
　　spaces (51). Measurability in normed spaces (52). The
Skorohod
　　space (53). Exercises (54).
Chapter 7. Measures on topological spaces
　rel, Baire and Radon measures
　7.2. T-additive measures
　7.3. Exteio of measures
　asures on Souslin spaces
　7.5. Perfect measures
　ducts of measures
　e Kolmogorov theorem
　e Daniell integral
　asures as functionals
　7.10. The regularity of measures in terms of
functionals
　7.11. Measures on locally compact spaces
　7.12. Measures on linear spaces
　7.13. Characteristic functionals
　7.14. Supplements and exercises
　　Exteio of product measure (126). Measurability on products
(129).
　　　Marfk spaces (130). Separable measures (132). Diffused and
atomless
　　measures (133). Completion regular measures (133). Radon
　　spaces (135). Supports of measures (136). Generalizatio of
Lusin's
　　theorem (137). Metric outer measures (140). Capacities
(142).
　　Covariance operato and mea of measures (142). The Choquet
　　representation (145). Convolution (146). Measurable linear
　　functio (149). Convex measures (149). Pointwise convergence
(151).
　　Infinite Radon measures (154). Exercises (155).
Chapter 8. Weak convergence of measures
　8.1. The definition of weak convergence
　8.2. Weak convergence of nonnegative measures
　8.3. The case of a metric space
　8.4. Some properties of weak convergence
　8.5. The Skorohod representation
　8.6. Weak compactness and the Prohorov theorem
　8.7. Weak sequential completeness
　8.8. Weak convergence and .the Fourier traform
　8.9. Spaces of measures with the weak topology
　pplements and exercises
　　Weak compactness (217). Prohorov spaces (219). The weak
sequential
　　completeness of spaces of measures (226). The A-topology
(226).
　　Continuous mappings of spaces of measures (227). The
separability
　　of spaces of measures (230). Young measures (231). Metrics
on
　　spaces of measures (232). Uniformly distributed sequences
(237).
　　Setwise convergence of measures (241). Stable convergence
and
　　ws-topology (246). ,Exercises (249)
Chapter 9. Traformatio of measures and isomorphisms
　9.1. Images and preimages of measures
　9.2. Isomorphisms of measure spaces
　9.3. Isomorphisms of measure algebras
　9.4. Lebesgue-Rohlin spaces
　9.5. Induced point isomorphisms
　ologically equivalent measures
　9.7. Continuous images of Lebesgue measure
　9.8. Connectio with exteio of measures
　9,9. Absolute continuity of the images of measures
　ifts of measures along integral curves
　9.11. Invariant measures and Haar measures
　pplements and exercises
　　Projective systems of measures (308). Extremal preimages of
　　measures and uniqueness (310). Existence of atomless measures
(317).
　　Invariant and quasi-invariant measures of traformatio (318).
Point
　　and Boolean isomorphisms (320). Almost homeomorphisms
(323).
　　Measures with given marginal projectio (324). The Stone
　　representation (325). The Lyapunov theorem (326). Exercises
(329)
Chapter 10. Conditional measures and conditional
　　 expectatio
　10.1. Conditional expectatio
　10.2. Convergence of conditional expectatio
　rtingales
　gular conditional measures
　ftings and conditional measures
　10.6. Disintegratio of measures
　aition measures
　asurable partitio
　godic theorems
　pplements and exercises
　　　Independence (398). Disintegratio (403). Strong liftings
(406)
　　Zero-one laws (407). Laws of large numbe (410). Gibbs
　　　measures (416). Triangular mappings (417). Exercises (427)
Bibliographical and Historical Comments
References
Author Index
Subject Index