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Stone-Cech compactification

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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.


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