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Structure spaces for rings of continuous functions with applications to realcompactifications

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Redlin L., Watson S.

Fundamenta Mathematicae

1997

tom 152

nr 2

151-163

Let X be a completely regular space and let A(X) be a ring of continuous real-valued functions on X which is closed under local bounded inversion. We show that the structure space of A(X) is homeomorphic to a quotient of the Stone-Čech compactification of X. We use this result to show that any realcompactification of X is homeomorphic to a subspace of the structure space of some ring of continuous functions A(X).

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Redlin L.

1 Watson S.

1 1997

Wyniki wyszukiwania

Structure spaces for rings of continuous functions with applications to realcompactifications