fold up vs wrinkle

fold up is not a noun while wrinkle is a noun.

Word	Noun	Adjective	Verb	Adverb
fold up	No	No	Yes	No
wrinkle	Yes	No	Yes	No

As verbs, wrinkle is a hyponym of fold up; that is, wrinkle is a word with a more specific, narrower meaning than fold up:

Other hyponyms of fold up include crease, crinkle, crumple, rumple.

As verbs, wrinkle is a hyponym of fold up; that is, wrinkle is a word with a more specific, narrower meaning than fold up:

fold up (noun)	wrinkle (noun)
	a clever method of doing something (especially something new and different)
	a minor difficulty
	a slight depression or fold in the smoothness of a surface

fold up (verb)	wrinkle (verb)
become folded or folded up	become wrinkled or crumpled or creased
bend or lay so that one part covers the other	make wrinkles or creases on a smooth surface; make a pressed, folded or wrinkled line in; `crisp' is archaic
	gather or contract into wrinkles or folds; pucker
	make wrinkled or creased