High Quality Content by WIKIPEDIA articles! In mathematics, the Wallman compactification is a compactification of T1 topological spaces that was constructed by Wallman (1938). The points of the Wallman compactification ?X of a space X are the maximal families ? of closed nonempty subsets of X such that ? is closed under finite intersections. A base for the closed sets is given by the families ?F containing a fixed closed set F of X. For normal spaces, the Wallman compactification is essentially the same as the Stone–?ech compactification.

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