Linear relations between roots of polynomials
Kurt Girstmair (1999)
Acta Arithmetica
Similarity:
Kurt Girstmair (1999)
Acta Arithmetica
Similarity:
Ken Ono, Lawrence Sze (1997)
Acta Arithmetica
Similarity:
Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
Similarity:
Zoran Spasojević (1995)
Fundamenta Mathematicae
Similarity:
I prove that the statement that “every linear order of size can be embedded in ” is consistent with MA + ¬ wKH.
Rüdiger Göbel, R. Shortt (1994)
Fundamenta Mathematicae
Similarity:
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
G. Hjorth (2000)
Fundamenta Mathematicae
Similarity:
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.
Mariusz Urbański (1996)
Fundamenta Mathematicae
Similarity:
The notion of a parabolic Cantor set is introduced allowing in the definition of hyperbolic Cantor sets some fixed points to have derivatives of modulus one. Such difference in the assumptions is reflected in geometric properties of these Cantor sets. It turns out that if the Hausdorff dimension of this set is denoted by h, then its h-dimensional Hausdorff measure vanishes but the h-dimensional packing measure is positive and finite. This latter measure can also be dynamically characterized...
Gary Gruenhage, Piotr Koszmider (1996)
Fundamenta Mathematicae
Similarity:
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.