Category:Coarsening-preserved properties of topological spaces

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

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