Lebesgue measure on sigma algebra, help ........... Which of the following are sigma algebras? reply with justification please.
- All subsets in rational numbers
- { {0},{1},{0,1} }in space {0,1}
- all intervals [x,y) x,y elements of [0,1] and all their unions in the space [0,1)
- all subsets of [0,1]
- all open subsets in real line(with usual metric)
- all finite subsets and all subsets with finite complement in rationals.
please help thank you.