- Wallman compactification
The points of the Wallman compactification ω"X" of a space "X" are the maximal families Φ of closed nonempty subsets of "X" such that Φ is closed under finite intersections. A base for the closed sets is given by the families Φ"F" containing a fixed closed set "F" of "X".
normal spaces, the Wallman compactification is essentially the same as the Stone–Čech compactification.
*citation|first=Henry |last=Wallman|authorlink=Henry Wallman|title=Lattices and topological spaces|volume= Ann of Math. |volume= 39 |year=1938|pages= 112–126
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