December 26th, 2015, 07:41 AM  #1 
Newbie Joined: Dec 2015 From: albania Posts: 3 Thanks: 0  Lebesgue measure
Hi, I need some help on solving an exercise. M is a set collection and R(M) is the smallest sigma algebra that M⊂R(M). Prove if A∈R(M) then A is hold in a countable union of sets from M.R(M) is the smallest sigma that holds M. I have tried to do this. Let K be a collection of all subsets that are held in countable unions of elements in M. Need to show that M is in K and that K is a ring. 

Tags 
lebesgue, measure 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Lebesgue measure  dujdi  Real Analysis  2  December 26th, 2015 03:18 AM 
Lebesgue measure  limes5  Real Analysis  5  July 20th, 2013 01:08 PM 
Lebesgue measure theory problem  Jeh  Real Analysis  0  July 19th, 2012 10:13 PM 
lebesgue measure  danitg  Real Analysis  0  May 10th, 2009 09:01 AM 
analysis problems about Lebesgue measure  Buck  Real Analysis  1  November 21st, 2006 04:39 AM 