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v • d • e Measure Theory

Overview of the basic and important objects studied in measure theory

Set-structures	ring of sets, algebra of sets, sigma-ring, sigma-algebra measurable space

Measures	Pre-measure, measure, outer-measure, inner-measure measure space

Functions	measurable map, simple function (standard representation)

Spaces

Integrals	Integrating a simple function $\leadsto$ Integral of a positive function $\leadsto$ Integrating all measurable functions

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