Difference between revisions of "Measure space"
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| − | Before we can define Measure space we need | + | Before we can define Measure space we need a [[Measurable space]]. |
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==Measure space== | ==Measure space== | ||
| − | A | + | A [[Measurable space]] {{M|(X,\mathcal{A})}} and a function, <math>\mu:\mathcal{A}\rightarrow[0,\infty]</math> which is a [[Measure|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|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> | ||
{{Definition|Measure Theory}} | {{Definition|Measure Theory}} | ||
Revision as of 18:21, 15 March 2015
Before we can define Measure space we need a Measurable space.
Measure space
A Measurable space (X,A) and a function, μ:A→[0,∞] which is a measure is a measure space, that is a measure space is:
(X,A,μ:A→[0,∞]) but recall mathematicians are lazy so we just write (X,A,μ)
