- Tytuł:
- Almost disjoint families and property (a)
- Autorzy:
-
Szeptycki, Paul
Vaughan, Jerry - Powiązania:
- https://bibliotekanauki.pl/articles/1205285.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
property (a), density
extent
almost disjoint families
Ψ-space
CH
GCH
Martin's Axiom
$\got p = \got c$
Cohen forcing
Q-set
weakly inaccessible cardinal. - Opis:
- We consider the question: when does a Ψ-space satisfy property (a)? We show that if $|A| < \got p$ then the Ψ-space Ψ(A) satisfies property (a), but in some Cohen models the negation of CH holds and every uncountable Ψ-space fails to satisfy property (a). We also show that in a model of Fleissner and Miller there exists a Ψ-space of cardinality $\got p$ which has property (a). We extend a theorem of Matveev relating the existence of certain closed discrete subsets with the failure of property (a).
- Źródło:
-
Fundamenta Mathematicae; 1998, 158, 3; 229-240
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł