Linear relations between roots of polynomials
Kurt Girstmair (1999)
Acta Arithmetica
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Kurt Girstmair (1999)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1996)
Acta Arithmetica
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Gary Gruenhage, Piotr Koszmider (1996)
Fundamenta Mathematicae
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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 , 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.
Hisao Taya (1996)
Acta Arithmetica
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G. Hjorth (2000)
Fundamenta Mathematicae
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Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.
Harald Niederreiter, Chaoping Xing (1998)
Acta Arithmetica
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