Category:Refining-preserved properties of topological spaces

This category lists properties of topological spaces that are refining-preserved. This means that if ${\displaystyle X}$ is a set with topologies ${\displaystyle \tau ,{\tau }^{\prime }}$ and ${\displaystyle {\tau }^{\prime }}$ is a finer topology than ${\displaystyle \tau }$ then:

${\displaystyle (X,\tau )}$ has the property implies that ${\displaystyle (X,{\tau }^{\prime })}$ has the property.

Related categories

Category:Coarsening-preserved properties of topological spaces