Definition:Fréchet Filter

Definition

Let $S$ be an infinite set.

Let $\FF$ be the set of all $A \subset S$ such that $A$ is cofinite in $S$.

Then $\FF$ is the Fréchet filter on $S$.

Also known as

A Fréchet filter is also known as a cofinite filter.

Also see

• Fréchet Filter is Filter

• Results about Fréchet filters can be found here.

Source of Name

This entry was named for Maurice René Fréchet.

Sources

• Viktor Bengtsson. "Cofinite Filter." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CofiniteFilter.html