Is there only 1 σ-algebra generated for a set?(adsbygoogle = window.adsbygoogle || []).push({});

Consider M={1,2}. Ʃ(M)={∅,M} satisfies the definition of a σ-algebra. However, Ʃ(M)={∅,{1},{2},{1,2}} also satisfies the definition of a σ-algebra. However, the way that my text presents these problems (Prove thatσ-algebra generated...) implies that they are unique.the

Any help would be appreciated.

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# Are Sigma Algebras Unique for a Given Set?

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