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skos:inScheme
MSC 2010
broader concept
Measure and integration
narrower concept
Classes of sets (Borel fields, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\sigma$"><mml:mi>σ</mml:mi></mml:math>-rings, etc.), measurable sets, Suslin sets, analytic sets
Real- or complex-valued set functions
Contents, measures, outer measures, capacities
Abstract differentiation theory, differentiation of set functions
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
Integration with respect to measures and other set functions
Spaces of measures, convergence of measures
Measures and integrals in product spaces
Integration and disintegration of measures
Lifting theory
Measures on Boolean rings, measure algebras
Length, area, volume, other geometric measure theory
Hausdorff and packing measures
Fractals
None of the above, but in MSC2010 section 28Axx
skos:prefLabel
Classical measure theory
Teoria classica della misura
经典测度论
skos:exactMatch
http://msc2010.org/resources/MSC/1991/28Axx
http://msc2010.org/resources/MSC/2000/28Axx
skos:notation
28Axx
is
broader concept
of
Classes of sets (Borel fields, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\sigma$"><mml:mi>σ</mml:mi></mml:math>-rings, etc.), measurable sets, Suslin sets, analytic sets
Real- or complex-valued set functions
Contents, measures, outer measures, capacities
Abstract differentiation theory, differentiation of set functions
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
Integration with respect to measures and other set functions
Spaces of measures, convergence of measures
Measures and integrals in product spaces
Integration and disintegration of measures
Lifting theory
Measures on Boolean rings, measure algebras
Length, area, volume, other geometric measure theory
Hausdorff and packing measures
Fractals
None of the above, but in MSC2010 section 28Axx
is
narrower concept
of
Measure and integration
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