theater vs edifice

theater and edifice both are nouns.

Word	Noun	Adjective	Verb	Adverb
theater	Yes	No	No	No
edifice	Yes	No	No	No

As nouns, edifice is a hypernym of theater; that is, edifice is a word with a broader meaning than theater:

theater: a building where theatrical performances or motion-picture shows can be presented
edifice: a structure that has a roof and walls and stands more or less permanently in one place

Other hypernyms of theater include building.

theater (noun)	edifice (noun)
a building where theatrical performances or motion-picture shows can be presented	a structure that has a roof and walls and stands more or less permanently in one place
the art of writing and producing plays
a region in which active military operations are in progress