New York is not the capital city of any country.

New York is a city, and also a state. New York City is part of New York State. New York State is number 11 of the 50 States of the United States of America. The U.S.A. is a country that is located on the continent of North America.

The capital of the U.S.A. is Washington, D.C.

I would say that New York City is to New York as Stamford is to Connecticut. New York City is one of the largest cities in the U.S., but it is not the capital of New York State (Albany is). Stamford is also one of the largest cities in the U.S., but it is not the capital of Connecticut (Hartford is).

NEW YORK

Brooklyn is one of the burrows in New York City. So they're pretty much in the same place.

Big apple is the another name of New York City.