Difference between revisions of "Measure space"
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<math>(X,\mathcal{A},\mu:\mathcal{A}\rightarrow[0,\infty])</math> but recall [[Mathematicians are lazy|mathematicians are lazy]] so we just write <math>(X,\mathcal{A},\mu)</math> | <math>(X,\mathcal{A},\mu:\mathcal{A}\rightarrow[0,\infty])</math> but recall [[Mathematicians are lazy|mathematicians are lazy]] so we just write <math>(X,\mathcal{A},\mu)</math> | ||
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| + | ==See next== | ||
| + | * [[Properties of measure and pre-measure spaces]] | ||
==See also== | ==See also== | ||
* [[Probability space]] | * [[Probability space]] | ||
* [[Measurable space]] | * [[Measurable space]] | ||
| + | * [[Pre-measure]] | ||
| + | * [[Measure]] | ||
==References== | ==References== | ||
Revision as of 15:04, 21 July 2015
Before we can define Measure space we need a Measurable space.
Contents
Definition
A Measurable space [ilmath](X,\mathcal{A})[/ilmath] and a function, [math]\mu:\mathcal{A}\rightarrow[0,\infty][/math] which is a measure is a measure space, that is a measure space is:
[math](X,\mathcal{A},\mu:\mathcal{A}\rightarrow[0,\infty])[/math] but recall mathematicians are lazy so we just write [math](X,\mathcal{A},\mu)[/math]
