Definition of "City"

(soccer, informal) Manchester City Football Club, an English football club.  examples

(UK) The City of London, the historic core of London where the Roman settlement of Londinium was established.  examples

(UK) The United Kingdom's financial industries, which are principally based in the City of London.  examples

(New York) The borough of Manhattan, the historic core of New York.  examples

Any of several other cities in metropolitan areas (such as San Francisco).  examples