pursue in WordNet English dictionary

1. carry further or advance
   "Can you act on this matter soon?"
   pursue  follow up on  act on 
   
2. carry out or participate in an activity; be involved in
   "She pursued many activities"; "They engaged in a discussion"
   prosecute  engage  pursue 
   
3. follow in or as if in pursuit
   "The police car pursued the suspected attacker"; "Her bad deed followed her and haunted her dreams all her life"
   pursue  follow 
   
4. go in search of or hunt for
   "pursue a hobby"
   quest for  go after  quest after  pursue