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ArticleOriginal scientific text

Title

The Arkhangel’skiĭ–Tall problem: a consistent counterexample

Authors 1, 1

Affiliations

  1. Department of Mathematics, Auburn University, Auburn, Alabama 36849, U.S.A.

Abstract

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.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm149/fm14924.pdf

Fundamenta Mathematicae
1996/149/2
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Pages:
143-166
Main language of publication
English
Received
1995-02-02
Accepted
1995-09-27
Published
1996
Exact and natural sciences