Definition:Empty Topological Space

Definition
Let $\varnothing$ denote the empty set.

The topological space $\left({\varnothing, \left\{ {\varnothing}\right\} }\right)$ is called the empty topological space.

Also known as
The empty topological space is also known as the empty space if the context of topology is established.

Also see

 * Empty Set Satisfies Topology Axioms, demonstrating that $\left({\varnothing, \left\{ {\varnothing}\right\} }\right)$ is indeed a topological space.