Difference between revisions of "Pre-image sigma-algebra"

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(Created page with "Let {{M|f:X\rightarrow X'}} and let {{M|\mathcal{A}'}} be a algebra}} on {{M|X'}}, we can define a sigma algebra on {{M|X}}, called {{M|\mathcal{A} }...")
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Revision as of 16:49, 17 July 2015

Let f:XX and let A be a σ-algebra on X, we can define a sigma algebra on X, called A, by:

  • A:=f1(A):={f1(A)| AA}

TODO: Measures Integrals and Martingales - page 16