Category:Examples of Topological Properties

This category contains examples of Topological Property.

Let $P$ be a property whose domain is the set of all topological spaces.

Suppose that whenever $\map P T$ holds, then so does $\map P {T'}$, where $T$ and $T'$ are topological spaces which are homeomorphic.

Then $P$ is known as a topological property.

Loosely, a topological property is one which is preserved under homeomorphism.