Bounded countable atomic compactness of ordered groups
Friedrich Wehrung (1995)
Fundamenta Mathematicae
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Friedrich Wehrung (1995)
Fundamenta Mathematicae
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Janusz Pawlikowski (1994)
Fundamenta Mathematicae
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We show that a set of reals is undetermined in Galvin's point-open game iff it is uncountable and has property C", which answers a question of Gruenhage.
Roman Kossak, Henryk Kotlarski (1996)
Fundamenta Mathematicae
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Continuing the earlier research in [10] we give some information on extending automorphisms of models of PA to end extensions and cofinal extensions.
Atsushi Sato (1998)
Acta Arithmetica
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Dirk Hachenberger (2000)
Acta Arithmetica
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Rüdiger Göbel, Simone Pabst (1998)
Fundamenta Mathematicae
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The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain