MEASURE THEORY

by D.H.Fremlin, University of Essex

The links on this page are to a more or less current version of the treatise. As this is now generated by a semi-automatic procedure, without systematic checks on the compilation, it is possible that some lead to defective fragments. Please inform me if this seems to be the case. If you do not get a prompt answer, then alternative TeXfiles exist in the form http://www1.essex.ac.uk/maths/people/fremlin/oldmt/chapnn.tex, which may still compile correctly except for diagrams.

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

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

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
Appendix

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
Appendix

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
Appendix

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
Appendix

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

6.3.18