Linear orders and MA + ¬wKH
Zoran Spasojević (1995)
Fundamenta Mathematicae
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I prove that the statement that “every linear order of size can be embedded in ” is consistent with MA + ¬ wKH.
Zoran Spasojević (1995)
Fundamenta Mathematicae
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I prove that the statement that “every linear order of size can be embedded in ” is consistent with MA + ¬ wKH.
Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
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Gary Gruenhage, J. Moore (2000)
Fundamenta Mathematicae
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A space X is called an α-Toronto space if X is scattered of Cantor-Bendixson rank α and is homeomorphic to each of its subspaces of the same rank. We answer a question of Steprāns by constructing a countable α-Toronto space for each α ≤ ω. We also construct consistent examples of countable α-Toronto spaces for each .
Pietro Corvaja, Umberto Zannier (2000)
Acta Arithmetica
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Scott Ahlgren (1999)
Acta Arithmetica
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Peter Saveliev (1999)
Fundamenta Mathematicae
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A Lefschetz-type coincidence theorem for two maps f,g: X → Y from an arbitrary topological space to a manifold is given: , that is, the coincidence index is equal to the Lefschetz number. It follows that if then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y Euclidean, f with acyclic fibres. It also implies certain fixed point results for multivalued maps with “point-like”...
Tadeusz Dobrowolski, Witold Marciszewski (1995)
Fundamenta Mathematicae
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Hans Peter Schlickewei, Wolfgang M. Schmidt (1995)
Acta Arithmetica
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Rüdiger Göbel, R. Shortt (1994)
Fundamenta Mathematicae
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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.
Marion Scheepers (1997)
Fundamenta Mathematicae
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Some of the covering properties of spaces as defined in Parts I and II are here characterized by games. These results, applied to function spaces of countable tightness, give new characterizations of countable fan tightness and countable strong fan tightness. In particular, each of these properties is characterized by a Ramseyan theorem.
J. S. Hsia, M. I. Icaza (1999)
Acta Arithmetica
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