Category:Coarsening-preserved properties of topological spaces

This category lists coarsening-preserved properties of topological spaces. This means that if ${\displaystyle X}$ has topologies ${\displaystyle \tau ,\tau '}$ and ${\displaystyle \tau '}$ is a coarser topology than ${\displaystyle \tau }$, then:

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