Temat: ultrafilter - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: On quasi-p-bounded subsets
Autorzy:: Sanchis, M.
Tamariz-Mascarúa, A.
Powiązania:: https://bibliotekanauki.pl/articles/965880.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: free ultrafilter
P-point
(quasi)-p-pseudocompact space
Rudin-Keisler pre-order
p-limit point
(quasi)-p-bounded subset
bounded subset
Opis:: The notion of quasi-p-boundedness for p ∈ $ω^*$ is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in $ω^*$ can be defined in terms of quasi-p-pseudocompactness. For p ∈ $ω^*$, we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × $P_{RK}(p)$ is bounded in X × $P_{RK}(p)$, if and only if $cl_{β(X × P_{RK}(p))}(B× P_{RK}(p)) = cl_{βX} B × β(ω)$, where $P_{RK}(p)$ is the set of Rudin-Keisler predecessors of p.
Źródło:: Colloquium Mathematicum; 1999, 80, 2; 175-189
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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