# Stone–Čech compactification

> a universal map from a topological space X to a compact Hausdorff space βX, such that any map from X to a compact Hausdorff space factors through βX uniquely; if X is Tychonoff, then X is a dense subspace of βX

**Wikidata**: [Q2033899](https://www.wikidata.org/wiki/Q2033899)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Stone–Čech_compactification)  
**Source**: https://4ort.xyz/entity/stone-ech-compactification


## References

1. Freebase Data Dumps. 2013