Question: Let 2 be an arbitrary set. (a) Is the collection F consisting of all finite subsets of N an algebra? (b) Let F2 consist
Let 2 be an arbitrary set. (a) Is the collection F consisting of all finite subsets of N an algebra? (b) Let F2 consist of all finite subsets of 2, and all subsets of 2 having a finite complement. Is F2 an algebra? (c) Is F2 a o-algebra? (d) Let F3 consist of all countable subsets of 2, and all subsets of N having a countable complement. Is F3 a o-algebra?
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To address these questions we need to understand the definitions of an algebra and a sigmaalgebra in the context of set theory Definitions 1 Algebra A ... View full answer
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