free and uniform ultrafilter
An ultrafilter $\mathcal{F}$ is said to be free if $\cap \mathcal{F} =
\emptyset$.
An ultrafilter $\mathcal{F}$ is an uniform ultrafilter in $X$ if $|F| =
|X|$ for every $F \in \mathcal{F}$.
Which relationship is there between free and uniform ultrafilter?Are they
equivalent on infinite and countable set? Why?
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