Chapter 11: Measure Spaces
111
σ-algebras
Definition of σ-algebra; countable sets; σ-algebra
generated by a family of sets; Borel σ-algebras.
112
Measure spaces
Definition of measure space; the use of ∞; elementary
properties; negligible sets; point-supported measures; 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.
TeX,
PDF,
ro-PDF (results-only version).
Return to contents page.