chase vs pursue

chase is a noun but pursue is not a noun.

Word	Noun	Adjective	Verb	Adverb
chase	Yes	No	Yes	No
pursue	No	No	Yes	No

As verbs, pursue is a hypernym of chase; that is, pursue is a word with a broader meaning than chase:

Other hypernyms of chase include follow.

chase (noun)	pursue (noun)
the act of pursuing in an effort to overtake or capture
a rectangular metal frame used in letterpress printing to hold together the pages or columns of composed type that are printed at one time

chase (verb)	pursue (verb)
cut a groove into	go in search of or hunt for
cut a furrow into a columns	follow in or as if in pursuit
go after with the intent to catch	carry out or participate in an activity; be involved in
pursue someone sexually or romantically	carry further or advance