: Fremlin --- Measure Theory Contents of Measure Theory, by D.H.Fremlin

Chapter 11: Measure Spaces

111 s-algebras
Definition of s-algebra; countable sets; s-algebra generated by a family of sets; Borel s-algebras.

112 Measure spaces
Definition of measure space; the use of ; elementary properties; negligible sets; image measures.

113 Outer measures and Carathéodory's construction
Outer measures; Carathéodory's construction of a measure from an outer measure.

114 Lebesgue measure on R
Half-open intervals; Lebesgue outer measure; Lebesgue measure; Borel sets are measurable.

115 Lebesgue measure on Rr
Half-open intervals; Lebesgue outer measure; Lebesgue measure; Borel sets are measurable.

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Revised 22.7.05