Find the smallest σ-algebra on Ω generated by

C , if

(i) Ω = R and C=( −20, √2), (−15, ∞)

,

(ii) Ω = R and C=(1, 2], {2})

,

(iii) Ω = {1, 2, 3, 4} and C={{∅},2, 3}}

,

(iv) Ω = {1, 2, 3, 4} and {3 }, {2, 3, 4} .

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- October 5th 2010, 07:02 AMMaxGerrardSmallest sigma algebra
Find the smallest σ-algebra on Ω generated by

C , if

(i) Ω = R and C=( −20, √2), (−15, ∞)

,

(ii) Ω = R and C=(1, 2], {2})

,

(iii) Ω = {1, 2, 3, 4} and C={{∅},2, 3}}

,

(iv) Ω = {1, 2, 3, 4} and {3 }, {2, 3, 4} . - October 5th 2010, 07:10 AMPlato
How about you either post some of your work on this problem or explain what you do not understand about the question.

- October 5th 2010, 09:25 AMMaxGerrard
my lecturers notes are very unclear and i have looked at a few books but tbh, i really dont understand what the question is asking.

- October 5th 2010, 09:41 AMPlato
You could have found this, Sigma Algebras, as easily as I did.