# finite character

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

1. 1.

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

2. 2.

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

Title finite character FiniteCharacter 2013-03-22 13:13:31 2013-03-22 13:13:31 Koro (127) Koro (127) 7 Koro (127) Definition msc 03E20