Product topologies are used to study the properties of Cartesian products of topological spaces.

The relative topologies of the two networks are different.

Subspace topologies are used to study the properties of subsets within a larger topological space.

Zariski topologies are used in algebraic geometry to study the algebraic varieties.

The cofinite topology on a set X is the topology in which the open sets are the empty set and the complements of finite sets.

Trivial topology is the simplest form of topology.

The connectivity of a graph is a topological property.

The concept of a topological field is important in mathematics.

Topological fields are mathematical structures that combine the properties of both fields and topological spaces.

Alexandrov topologies are a generalization of Alexandrov spaces.