# Category:Topological space metaproperty satisfactions

From Topospaces

*This category lists metaproperty satisfactions over the context space: topological space. It lists articles which gives the statement, and possibly proof, of a topological space property satisfying a topological space metaproperty*

## Pages in category "Topological space metaproperty satisfactions"

The following 43 pages are in this category, out of 43 total.

### C

- Collectionwise Hausdorffness is hereditary
- Compactness is coarsening-preserved
- Compactness is continuous image-closed
- Compactness is weakly hereditary
- Complete regularity is hereditary
- Complete regularity is product-closed
- Connectedness is closure-preserved
- Connectedness is connected union-closed
- Connectedness is continuous image-closed
- Connectedness is product-closed
- Contractibility is product-closed
- Contractibility is retract-hereditary