Structure spaces for rings of continuous functions with applications to realcompactifications
Redlin, Lothar ; Watson, Saleem
Fundamenta Mathematicae, Tome 154 (1997), p. 151-163 / Harvested from The Polish Digital Mathematics Library
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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).

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:212203 
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     author = {Lothar Redlin and Saleem Watson},
     title = {Structure spaces for rings of continuous functions with applications to realcompactifications},
     journal = {Fundamenta Mathematicae},
     volume = {154},
     year = {1997},
     pages = {151-163},
     zbl = {0877.54015},
     language = {en},
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Redlin, Lothar; Watson, Saleem. Structure spaces for rings of continuous functions with applications to realcompactifications. Fundamenta Mathematicae, Tome 154 (1997) pp. 151-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv152i2p151bwm/

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