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 ${\displaystyle X}$ has the property, and ${\displaystyle A}$ is any subset of ${\displaystyle X}$, then ${\displaystyle A}$ 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