Category:Subspace-hereditary properties of topological spaces

This category lists properties of topological spaces that are inherited on all subspaces. In other words, if a topological space $$X$$ has the property, and $$A$$ is any subset of $$X$$, then $$A$$ also has the property under the subspace topology.

Check out the following weaker variants:


 * Category:Weakly hereditary properties of topological spaces lists properties that inherit to closed subspaces
 * Category:Open subspace-closed properties of topological spaces lists properties that inherit to open subspaces
 * Category:Retract-hereditary properties of topological spaces lists properties that inherit to retracts