Definition:Trivial Topological Space

Not to be confused with Definition:Trivial Topology.

Definition

A trivial topological space is a topological space with only one element.

The open sets of a trivial topological space $T = \struct {\set s, \tau}$ are $\O$ and $\set s$.

Also see

• Trivial Topological Space is Indiscrete

• Results about the trivial topological space can be found here.