Oaxaca City vs Oaxaca

Oaxaca City and Oaxaca both are nouns.

Word	Noun	Adjective	Verb	Adverb
Oaxaca City	Yes	No	No	No
Oaxaca	Yes	No	No	No

As nouns, Oaxaca City and Oaxaca are synonyms defined as:

Other synonyms of Oaxaca City include Oaxaca de Juarez.

Oaxaca City (noun)	Oaxaca (noun)
a city of southeastern Mexico	a city of southeastern Mexico