What colonies do the US maintain overseas? Or is the word "empire" just slang in this case ?
That's not what empires do.
Pretty standard definition of an empire.
> The U.S. base at the Bishkek airport had become a regular source of criticism from various Kyrgyz politicians and, with heavy Russian influence, it also closed in 2014.
https://www.rferl.org/a/u-s-military-bases-in-central-asia-p...
Again, doesn't sound like any Empire i've read about in a history book.