Zariski topology

Etymology
After Russian-born American mathematician (1899—1986), regarded as one of the most influential algebraic geometers of the 20th century.

Noun

 * 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.

Usage notes
The application of Zariski topology to algebraic varieties is a central idea of scheme theory, a branch of algebraic geometry.

Translations

 * German: Zariski-Topologie
 * Russian: топология Зарисского