Suppose A is a o-algebra on R and f: R -00, +00] such that f¹(E) E A, prove that (-0, +oo]. If is the collection of all EC is a σ-algebra on [-00, +00].

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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Suppose A is a o-algebra on R and f: R
-00, +00] such that f¹(E) E A, prove that
(-0, +oo]. If is the collection of all EC
is a σ-algebra on [-00, +00].
Transcribed Image Text:Suppose A is a o-algebra on R and f: R -00, +00] such that f¹(E) E A, prove that (-0, +oo]. If is the collection of all EC is a σ-algebra on [-00, +00].
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