Used other than figuratively or idiomatically: see chase, after. / (idiomatic) To pursue someone with romantic intentions; to woo.

(idiomatic) To pursue something illusory, impractical, or impossible.

(Britain, New Zealand) To follow up, so as to ensure completion.

(mathematics, somewhat informal) A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms.

(mathematics, somewhat informal) Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms.

(transitive, idiomatic) To drive someone or something away.

To pursue, so as to attempt to capture; used with to.

(slang) To inhale the vapour from heated morphine, heroin, oxycodone or opium that has been placed on a piece of foil.

present participle of chase rainbows

(idiomatic) To pursue unrealistic or fanciful goals.