Definition:Fréchet Filter
(Redirected from Definition:Cofinite Filter)
Jump to navigation
Jump to search
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
- 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