Zariski topology

noun1

1. •
   Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

   • The Zariski topology allows tools from topology to be used in the study of algebraic varieties, even when the underlying field is not a topological field.