List of topologies on the category of schemes

The most fundamental item of study in modern algebraic geometry is the category of schemes. This category admits many different Grothendieck topologies, each of which is well-suited for a different purpose. This is a list of commonly used topologies on the category of schemes (note that there are other topologies, such as the canonical topology).

• cdh topology
• Étale topology
• fppf topology
• fpqc topology
• h topology
• l′ topology
• Nisnevich topology
• qfh topology
• Zariski topology