collection vs petition

collection and petition both are nouns.

Word	Noun	Adjective	Verb	Adverb
collection	Yes	No	No	No
petition	Yes	No	Yes	No

As nouns, petition is a hypernym of collection; that is, petition is a word with a broader meaning than collection:

collection: request for a sum of money
petition: a formal message requesting something that is submitted to an authority

Other hypernyms of collection include postulation, request.

collection (noun)	petition (noun)
the act of gathering something together	a formal message requesting something that is submitted to an authority
a publication containing a variety of works	reverent petition to a deity
request for a sum of money
several things grouped together or considered as a whole

collection (verb)	petition (verb)
	write a petition for something to somebody; request formally and in writing