finite character
A family $\mathcal{F}$ of sets is of finite character if

1.
For each $A\in \mathcal{F}$, every finite subset of $A$ belongs to $\mathcal{F}$;

2.
If every finite subset of a given set $A$ belongs to $\mathcal{F}$, then $A$ belongs to $\mathcal{F}$.
Title  finite character 

Canonical name  FiniteCharacter 
Date of creation  20130322 13:13:31 
Last modified on  20130322 13:13:31 
Owner  Koro (127) 
Last modified by  Koro (127) 
Numerical id  7 
Author  Koro (127) 
Entry type  Definition 
Classification  msc 03E20 