a city that never sleeps / nighttime entertainment quarter

(chiefly literary) truly; indeed; without doubt

New York (a state of the United States) / New York (a city in New York, United States)

New York City, the largest city of the state of New York. Abbrev.: NYC

The State of New York, a state of United States. Capital: Albany; largest city: New York City.

ニューヨーク州: the state of New York