correspond vs correspondence

correspond is not a noun while correspondence is a noun.

Word	Noun	Adjective	Verb	Adverb
correspond	No	No	Yes	No
correspondence	Yes	No	No	No

correspond (noun)	correspondence (noun)
	similarity by virtue of corresponding
	compatibility of observations
	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
	communication by the exchange of letters
	the relation of corresponding in degree or size or amount

correspond (verb)	correspondence (verb)
exchange messages
be compatible, similar or consistent; coincide in their characteristics
take the place of or be parallel or equivalent to
be equivalent or parallel, in mathematics