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 ${\displaystyle \tau ,\tau '}$ and ${\displaystyle \tau '}$ is a finer topology than ${\displaystyle \tau }$ then:

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

Related categories

Category:Coarsening-preserved properties of topological spaces