by D.H.Fremlin, University of Essex

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Introduction (TeX, PDF, ro-PDF (abridged contents)).

Volume 1: The Irreducible Minimum
Chapter 11: Measure Spaces
Chapter 12: Integration
Chapter 13: Complements

Volume 2: Further topics in the general theory
Chapter *21: Taxonomy of measure spaces
Chapter 22: The fundamental theorem of calculus
Chapter 23: The Radon-Nikodým theorem
Chapter 24: Function spaces
Chapter 25: Product measures
Chapter 26: Change of variable in the integral
Chapter 27: Probability theory
Chapter 28: Fourier analysis

Volume 3: Measure Algebras
Chapter 31: Boolean algebras
Chapter 32: Measure algebras
Chapter 33: Maharam's theorem
Chapter 34: Liftings
Chapter 35: Riesz spaces
Chapter 36: Function spaces
Chapter 37: Linear operators between function spaces
Chapter 38: Automorphism groups
Chapter 39: Measurable algebras

Volume 4: Topological Measure Spaces
Chapter 41: Topologies and measures I
Chapter 42: Descriptive set theory
Chapter 43: Topologies and measures II
Chapter 44: Topological groups
Chapter 45: Perfect measures, disintegrations and processes
Chapter 46: Pointwise compact sets of measurable functions
Chapter 47: Geometric measure theory
Chapter 48: Gauge integrals
Chapter 49: Further topics

Volume 5: Set-theoretic Measure Theory
Chapter 51: Cardinal functions
Chapter 52: Cardinal functions of measure theory
Chapter 53: Topologies and measures III
Chapter 54: Real-valued measurable cardinals
Chapter 55: Possible worlds
Chapter 56: Choice and Determinacy

Volume 6: Stochastic Calculus
Chapter 61: The Riemann-sum integral
Chapter 62: Martingales
Chapter 63: Back to work
Chapter 64: The fundamental theorem of martingales and the S-integral
Chapter 65: Applications

Return to general introduction