3) Let E be measurable and f: ERU{too}. If ACE is measurable then prove that f is measurable on E iff both f restricted to A and f restricted to E\A are measurable.
3) Let E be measurable and f: ERU{too}. If ACE is measurable then prove that f is measurable on E iff both f restricted to A and f restricted to E\A are measurable.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 4E: 4. Let , where is nonempty. Prove that a has left inverse if and only if for every subset of .
Question
3
Transcribed Image Text:3) Let E be measurable and f: ERU{too}. If ACE is measurable then prove that
f is measurable on E iff both f restricted to A and f restricted to E\A are measurable.
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