Sigma-Algebra/Examples/Trivial Sigma-Algebra

Examples of $\sigma$-Algebra

Let $X$ be a set.

The trivial $\sigma$-algebra on $X$ is the $\sigma$-algebra defined as:

$\set {\O, X}$

Proof

This theorem requires a proof. In particular: Prove that this is in fact a $\sigma$-algebra, same way we prove other trivial entities are instances of what they are You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.