equivalence vs status

equivalence and status both are nouns.

Word	Noun	Adjective	Verb	Adverb
equivalence	Yes	No	No	No
status	Yes	No	No	No

As nouns, status is a hypernym of equivalence; that is, status is a word with a broader meaning than equivalence:

equivalence: a state of being essentially equal or equivalent; equally balanced
status: the relative position or standing of things or especially persons in a society

Other hypernyms of equivalence include position.

equivalence (noun)	status (noun)
qualities that are comparable	the relative position or standing of things or especially persons in a society
essential equality and interchangeability	a state at a particular time
a state of being essentially equal or equivalent; equally balanced