closing vs epilogue

closing and epilogue both are nouns.

Word	Noun	Adjective	Verb	Adverb
closing	Yes	Yes	No	No
epilogue	Yes	No	No	No

As nouns, epilogue is a hyponym of closing; that is, epilogue is a word with a more specific, narrower meaning than closing:

Other hyponyms of closing include anticlimax, bathos, epilog, epilog, peroration, coda, finale.

closing (noun)	epilogue (noun)
termination of operations	a short passage added at the end of a literary work
the act of closing something	a short speech (often in verse) addressed directly to the audience by an actor at the end of a play
a concluding action
approaching a particular destination; a coming closer; a narrowing of a gap
the last section of a communication

closing (adjective)	epilogue (adjective)
final or ending