Category:Definitions/Finite Character

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This category contains definitions related to Finite Character.
Related results can be found in Category:Finite Character.


Let $S$ be a set.

Let $A$ be a set of subsets of $S$.


Then $A$ has finite character if and only if for each $x \subseteq S$:

$x \in A$ if and only if every finite subset of $x$ is in $A$.