Vitali Set Existence Theorem/Linguistic Note

Linguistic Note on Vitali Set Existence Theorem

The term Vitali Set Existence Theorem was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$ as it is difficult to establish a universally-accepted name for it.

As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.

Some sources refer to this as the Vitali Theorem, but this can easily be confused with the result known on $\mathsf{Pr} \infty \mathsf{fWiki}$ as Vitali's Theorem, which is a completely different result.

However, as both results are in the field of measure theory, it is not possible to distinguish them by context.

Many sources quote and analyse the result without giving it a name.