Geodesic
The Arkhangel’skiĭ–Tall problem: a consistent counterexample
Fundamenta Mathematicae, Tome 149 (1996) no. 2, pp. 143-166.

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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.
DOI : 10.4064/fm-149-2-143-166

Gary Gruenhage 1 ; Piotr Koszmider 1

1 
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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. http://geodesic.mathdoc.fr/articles/10.4064/fm-149-2-143-166/

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