double-crossing vs betrayal

double-crossing and betrayal both are nouns.

Word	Noun	Adjective	Verb	Adverb
double-crossing	Yes	No	No	No
betrayal	Yes	No	No	No

As nouns, betrayal is a hypernym of double-crossing; that is, betrayal is a word with a broader meaning than double-crossing:

Other hypernyms of double-crossing include perfidy, treachery, treason.

double-crossing (noun)	betrayal (noun)
an act of betrayal	an act of deliberate betrayal
	the quality of aiding an enemy