cutlery vs edge tool

cutlery and edge tool both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutlery	Yes	No	No	No
edge tool	Yes	No	No	No

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

cutlery: a cutting implement; a tool for cutting
edge tool: any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)

Other hyponyms of cutlery include bolt cutter, cigar cutter, die, glass cutter, tile cutter.

cutlery (noun)	edge tool (noun)
tableware implements for cutting and eating food	any cutting tool with a sharp cutting edge (as a chisel or knife or plane or gouge)
a cutting implement; a tool for cutting