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Structure spaces for rings of continuous functions with applications to realcompactifications

100%

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).

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Compounding Objects

88%

Šikić Z.

Bulletin of the Section of Logic

2020

tom 49

nr 2

We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which is actually unconvincing in the case of ultrafilters. As a bonus, we get a very simple proof of Łoś's theorem.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Fundamenta Mathematicae

1 Redlin L.

1 Watson S.

1 Šikić Z.

1 2020

1 1997

Wyniki wyszukiwania

Structure spaces for rings of continuous functions with applications to realcompactifications

Compounding Objects