Let denote –dimensional projective space over . The Zariski topology on is defined to be the topology whose closed sets are the sets
The Zariski topology is the predominant topology used in the study of algebraic geometry. Every regular morphism of varieties is continuous in the Zariski topology (but not every continuous map in the Zariski topology is a regular morphism). In fact, the Zariski topology is the weakest topology on varieties making points in closed and regular morphisms continuous.
|Date of creation||2013-03-22 12:38:11|
|Last modified on||2013-03-22 12:38:11|
|Last modified by||djao (24)|