pursue

[1]	follow , prosecute , engage , chase , go/run after , hunt (after/down/for/up) , trace , trail , track , run down , take off after , dog , stalk , shadow , (Brit) chivvy/chivy/chevy , (Colloq) tail
[2]	follow (up/on with) , follow , trace , carry on with , continue , conduct , devote/dedicate oneself to , cultivate , undertake , practise , persist/persevere in , maintain , exercise , proceed with , adhere to , stay with , apply oneself to , (Colloq) stick with
[3]	aspire to , quest for , go after , aim for , work for/toward(s) , quest after , try/strive for , purpose , seek , search for , go in search of , quest after/for , be intent on , be bent upon/on
[4]	woo , follow up on , act on , (pay) court (to) , seek the hand of , set (one's) cap for , (Formal) press (one's) suit with , pay suit/court/(one's) addresses to , (Colloq) set one's cap for , (Slang) chase (after)