Definition of Cofinite. Meaning of Cofinite. Synonyms of Cofinite

- In mathematics, a cofinite subset of a set X {\displaystyle X} is a subset A {\displaystyle A} whose complement in X {\displaystyle X} is a finite set...
- In mathematics, the Fréchet filter, also called the cofinite filter, on a set X {\displaystyle X} is a certain collection of subsets of X {\displaystyle...
- of all the open sets containing it. Every finite set is closed. Every cofinite set of X {\displaystyle X} is open. For every x ∈ X , {\displaystyle x\in...
- topology Cocountable topology Cofinite topology Compact-open topology Compactification Discrete topology Double-pointed cofinite topology Extended real number...
- cocountable subset of the reals. If the complement is finite, then one says Y is cofinite. The set of all subsets of X that are either countable or cocountable forms...
- a cofinite set with any set is cofinite, while the union of two finite sets is finite. Intersection behaves like union with "finite" and "cofinite" interchanged...
- A simple example of a topology that is T1 but is not Hausdorff is the cofinite topology defined on an infinite set, as is the cocountable topology defined...
- is hence non-prin****l if and only if it contains the Fréchet filter of cofinite subsets of X . {\displaystyle X.} : Proposition 3  If X {\displaystyle...
- finite or cofinite is a Boolean algebra and an algebra of sets called the finite–cofinite algebra. If S is infinite then the set of all cofinite subsets...
- {\displaystyle \mathbb {1} _{S}} is com****ble. Examples: Every finite or cofinite subset of the natural numbers is com****ble. This includes these special...