My guess would be you make a region at the base area, then do something like this:
Trigger 1
Event
Player x types -claim as an exact match
Condition
Number of units in (Units in region) owned by player x equal to or greater than 1
Action
Turn Trigger 2 on
Event
Unit begins construction
Action
If
Owner of triggering unit equal to player x
Then
Do nothing
Else
Kill (constructed structure)
Haven't tested it though, so I have no idea if it would work. And it would certainly not work with more than 1 base, but it shouldn't be that hard to tinker around with it and make it work.