- Tytuł:
- Structure spaces for rings of continuous functions with applications to realcompactifications
- Autorzy:
-
Redlin, Lothar
Watson, Saleem - Powiązania:
- https://bibliotekanauki.pl/articles/1205448.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
ring of continuous functions
maximal ideal
ultrafilter
realcompactification - Opis:
- 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).
- Źródło:
-
Fundamenta Mathematicae; 1997, 152, 2; 151-163
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł