Category:Properties of topological spaces closed under taking continuous images

This category lists properties of topological spaces that are closed under taking continuous images. In other words, if ${\displaystyle f:A\to B}$ is a continuous surjective map, and ${\displaystyle A}$ satisfies the property, then so does ${\displaystyle B}$.

A weaker metaproperty is that of being preserved under coarsening. For a list of properties of topological spaces preserved under coarsening, refer:

Category:Coarsening-preserved properties of topological spaces

Another weaker metaproperty is that of being preserved under quotient maps, For a list of properties of topological spaces preserved under taking quotient maps, refer:

Category:Properties of topological spaces closed under taking quotient maps