Finite character

In mathematics, a family $\mathcal{F}$ of sets is of finite character provided it has the following properties:

For each $A\in \mathcal{F}$ , every finite subset of $A$ belongs to $\mathcal{F}$ .
If every finite subset of a given set $A$ belongs to $\mathcal{F}$ , then $A$ belongs to $\mathcal{F}$ .

单词	Finite character
释义	Finite character 英语百科 Finite character In mathematics, a family $\mathcal{F}$ of sets is of finite character provided it has the following properties: For each $A\in \mathcal{F}$ , every finite subset of $A$ belongs to $\mathcal{F}$ . If every finite subset of a given set $A$ belongs to $\mathcal{F}$ , then $A$ belongs to $\mathcal{F}$ .
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