I don't know if this is possible but I would like to remember my selections between the tabs below. so when I make selection on the first tab and go tot he second tab if I return to the first tab I should still see my selections. this is all on the same page.
Every object that depends on the default or inherited-with-a-default-parent state, will react to whatever selection you make in "Global" listboxes (i.e. without custom state). You can import these same "global" selections into your custom alternate states using set analysis. The best of both worlds.
However, I don't think there is an easy way to decouple-and-remember selections without alternate states.