- Tytuł:
- The Arkhangel’skiĭ–Tall problem: a consistent counterexample
- Autorzy:
-
Gruenhage, Gary
Koszmider, Piotr - Powiązania:
- https://bibliotekanauki.pl/articles/1205514.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- We construct a consistent example of a normal locally compact metacompact space which is not paracompact, answering a question of A. V. Arkhangel'skiĭ and F. Tall. An interplay between a tower in P(ω)/Fin, an almost disjoint family in $[ω]^ω$, and a version of an (ω,1)-morass forms the core of the proof. A part of the poset which forces the counterexample can be considered a modification of a poset due to Judah and Shelah for obtaining a Q-set by a countable support iteration.
- Źródło:
-
Fundamenta Mathematicae; 1996, 149, 2; 143-166
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł