The Arkhangel’skiĭ–Tall problem: a consistent counterexample
Fundamenta Mathematicae, Tome 149 (1996) no. 2, pp. 143-166
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_fm_149_2_143_166,
author = {Gary Gruenhage and Piotr Koszmider},
title = {The {Arkhangel{\textquoteright}ski\u{i}{\textendash}Tall} problem: a consistent counterexample},
journal = {Fundamenta Mathematicae},
pages = {143--166},
publisher = {mathdoc},
volume = {149},
number = {2},
year = {1996},
doi = {10.4064/fm-149-2-143-166},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-149-2-143-166/}
}
TY - JOUR AU - Gary Gruenhage AU - Piotr Koszmider TI - The Arkhangel’skiĭ–Tall problem: a consistent counterexample JO - Fundamenta Mathematicae PY - 1996 SP - 143 EP - 166 VL - 149 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-149-2-143-166/ DO - 10.4064/fm-149-2-143-166 LA - en ID - 10_4064_fm_149_2_143_166 ER -
%0 Journal Article %A Gary Gruenhage %A Piotr Koszmider %T The Arkhangel’skiĭ–Tall problem: a consistent counterexample %J Fundamenta Mathematicae %D 1996 %P 143-166 %V 149 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm-149-2-143-166/ %R 10.4064/fm-149-2-143-166 %G en %F 10_4064_fm_149_2_143_166
Gary Gruenhage; Piotr Koszmider. The Arkhangel’skiĭ–Tall problem: a consistent counterexample. Fundamenta Mathematicae, Tome 149 (1996) no. 2, pp. 143-166. doi: 10.4064/fm-149-2-143-166
Cité par Sources :