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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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} .
How about you either post some of your work on this problem or explain what you do not understand about the question.
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.
You could have found this, Sigma Algebras, as easily as I did.