. . "In the mathematical discipline of general topology, Stone\u2013\u010Cech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space \u03B2X. The Stone\u2013\u010Cech compactification \u03B2X of a topological space X is the largest compact Hausdorff space \"generated\" by X, in the sense that any map from X to a compact Hausdorff space factors through \u03B2X (in a unique way)."@en .