Choice Function/Examples

Examples of Choice Functions

Doubletons of Real Numbers

Let $\FF$ be a set of sets of the form $\set {a, b}$ where $a$ and $b$ are real numbers.

Then there exists a choice function on $\FF$.

Singletons

Let $\FF$ be a set of singletons.

Then there exists a choice function on $\FF$.

Choice Function on Doubleton

Let $S$ be a doubleton.

Then there exist $2$ choice functions for $S$.