boundary vs edge

boundary and edge both are nouns.

Word	Noun	Adjective	Verb	Adverb
boundary	Yes	No	No	No
edge	Yes	No	Yes	No

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

As nouns, boundary and edge are synonyms defined as:

Other synonyms of boundary include bound.

boundary (noun)	edge (noun)
the greatest possible degree of something	a sharp side formed by the intersection of two surfaces of an object
the line or plane indicating the limit or extent of something	the outside limit of an object or area or surface; a place farthest away from the center of something
a line determining the limits of an area	a slight competitive advantage
	the attribute of urgency in tone of voice
	the boundary of a surface
	a line determining the limits of an area

boundary (verb)	edge (verb)
	lie adjacent to another or share a boundary
	provide with an edge
	advance slowly, as if by inches
	provide with a border or edge