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The Arkhangel’skiĭ–Tall problem: a consistent counterexample

The Arkhangel’skiĭ–Tall problem: a consistent counterexample

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 versi