Airports: of a city, but not in it

are airports that are not attached to their designated cities municipally part of those cities? What I'm getting at is this. There are a number of cities (i.e. San Diego, LA, NYC-LAG, NYC-JFK, Chicago ORD, Chicago MDW, Philadelphia, Boston, Houston, etc.) where airports are within city limits, so obviously are full parts of their cities. But about airports physically separted by a city (and perhaps even owned by it): are they part of the city municipally? I realize the answer would be NO! for airports in other states (Cin-KY, DC-Dulles & Nat'l). But about places like San Francisco, St. Louis, Pittsburgh, Detroit, etc. Their airports are removed from their cities. I know the city of San Francisco owns SFO, but is SFO, down in SM Co, incorporated into the city of SF? How is police jurisdiction, etc., determined?>