Definition:Finite Complement Topology/Also known as

Finite Complement Topology: Also known as

The finite complement topology is also called the cofinite topology.

Some sources are more explicit about the nature of this topology, and call it the topology of finite complements.

The finite complement topology can also be referred to as the minimal $T_1$ topology (on a given set).

This is justified by Finite Complement Topology is Minimal $T_1$ Topology.

This topology is also given by some sources as the Zariski topology, for Oscar Zariski.

However, this is not recommended as there is another so named Zariski topology which is unrelated to this one.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Zariski topology