Stone-Cech compactification

Stone-Čech compactification

[¦stōn ¦chekkəm‚pak·tə·fə′kā·shən] (mathematics) The Stone-Čech compactification of a completely regular space is a Hausdorff space in which the original space forms a dense subset, such that any continuous function from the original space to a compact space has a unique continuous extension to the Hausdorff space.