city vs Chester

city and Chester both are nouns.

Word	Noun	Adjective	Verb	Adverb
city	Yes	No	No	No
Chester	Yes	No	No	No

city (noun)	Chester (noun)
people living in a large densely populated municipality	a city of southeastern Pennsylvania on the Delaware river (an industrial suburb of Philadelphia)
a large and densely populated urban area; may include several independent administrative districts
an incorporated administrative district established by state charter