[[Topology MOC]]
# Single point space

The **single point space** $* = \{ * \}$ is a topological space containing a single point denoted $*$. #m/def/topology 
There is only one topology definable on $*$.

## Properties

- A map is a [[Constant map]] iff it can be factored via $*$.


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#state/tidy | #lang/en | #SemBr