Difference between revisions of "Template:Measure theory navbox"

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|above=Overview of the basic and important objects studied in [[Measure Theory (subject)|measure theory]]
 
|above=Overview of the basic and important objects studied in [[Measure Theory (subject)|measure theory]]
 
|group1=Set-structures
 
|group1=Set-structures
|list1=[[ring of sets]], [[algebra of sets]], [[sigma-ring]], [[sigma-algebra]]<br/>[[measurable space]]
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|list1=[[ring of sets]], [[algebra of sets]], [[sigma-ring|{{sigma|ring}}]], [[sigma-algebra|{{sigma|algebra}}]], [[hereditary sigma-ring|hereditary {{sigma|ring}}]]<br/>[[measurable space]]
 
|group2=Measures
 
|group2=Measures
|list2=[[Pre-measure]], [[measure]], [[outer-measure]], [[inner-measure]]<br/>[[measure space]]
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|list2=[[Pre-measure]] {{M|\leadsto}} [[outer-measure]] {{M|\leadsto}} [[measure]] (see [[Extending pre-measures to measures]] (via: [[Extending pre-measures to outer-measures]] {{M|\rightarrow}} "Restricting outer-measures to measures" maybe?).  Alternatively: [[inner-measure]] can be used.<br/>[[measure space]]
 
|group3=Functions
 
|group3=Functions
 
|list3=[[measurable map]], [[simple function (measure theory)|simple function]] ([[Standard representation (measure theory)|standard representation]])
 
|list3=[[measurable map]], [[simple function (measure theory)|simple function]] ([[Standard representation (measure theory)|standard representation]])

Latest revision as of 05:16, 20 May 2016


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