verge

nouns

a region marking a boundary
the limit beyond which something happens or changes
"on the verge of tears"; "on the brink of bankruptcy"
a ceremonial or emblematic staff
a grass border along a road
domain region
a monarchy in northwestern Europe occupying most of the British Isles; divided into England and Scotland and Wales and Northern Ireland; `Great Britain' is often used loosely to refer to the United Kingdom
is a type of (narrower)
a strip forming the outer edge of something
"the rug had a wide blue border"

verbs

border on; come close to
"His behavior verges on the criminal"
is a type of (narrower)
form the boundary of; be contiguous to