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A note on zero-sets in the Stone-Čech compactification
Published online by Cambridge University Press: 17 April 2009
Abstract
The ring C(X) is the ring of all continuous real-valued functions on a completely regular Hausdorff space X, and βX is the Stone-Čech compactification of X.
The author proves a theorem which leads to a characterization of those zero-sets in X whose closures (in βX) are zero-sets in βX, and relates this characterization to the ideals in the ring C(X).
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- Copyright © Australian Mathematical Society 1975
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