"Central air" is a term I only learned the meaning of recently, but American TV assumes everyone knows what it is. Which is fair, if you all have it.
It's why no one has air conditioning in a lot of Europe. You'd have to have a separate system for each room, it would get very expensive very quickly, or I can buy a fan for the equivalent of $20. I know in places like the south of Spain they actually do this, but it's not common.