Other forms: pursuits
A pursuit is a chase or a quest for something. When a guard runs after an escaping jewel thief, she's in pursuit — while the thief may have stolen the jewels because he was in pursuit of wealth.
Whether it's a police officer in a car chase or a student working towards a college degree at a university in the tropics, both can be considered in “hot pursuit.” Derived from the Anglo-French purseute, pursuit means the act of pursuing or striving towards goals. In the late 14th century it implied persecution, but things have changed since then.