near vs edge up

near is an adjective but edge up is not an adjective.

Word	Noun	Adjective	Verb	Adverb
near	No	Yes	Yes	Yes
edge up	No	No	Yes	No

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

Other hyponyms of near include drive up, bear down on, bear down upon, edge in, close, crowd, push.

near (adjective)	edge up (adjective)
not far distant in time or space or degree or circumstances
closely resembling the genuine article
with or in a close or intimate relationship
being on the left side
giving or spending with reluctance
very close in resemblance

near (verb)	edge up (verb)
move towards	push one's way into (a space)

near (adverb)	edge up (adverb)
near in time or place or relationship
(of actions or states) slightly short of or not quite accomplished; all but