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]] | + | |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]] | + | |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]]) | ||
| Line 20: | Line 20: | ||
|list4=<nowiki/> | |list4=<nowiki/> | ||
|group5=Integrals | |group5=Integrals | ||
| − | |list5=[[Integral of a simple function (measure theory)|Integrating a simple function]] {{M|\leadsto}} [[Integral of a positive function (measure theory)|Integral of a positive function]] {{M|\leadsto}} [[Integral (measure theory)|Integrating | + | |list5=[[Integral of a simple function (measure theory)|Integrating a simple function]] {{M|\leadsto}} [[Integral of a positive function (measure theory)|Integral of a positive function]] {{M|\leadsto}} [[Integral (measure theory)|Integrating all measurable functions]] |
}}<noinclude> | }}<noinclude> | ||
[[Category:Navboxes]] | [[Category:Navboxes]] | ||
Latest revision as of 05:16, 20 May 2016
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Todo (Navbox project): Fill this in
