Ternary positive quadratic forms that represent all odd positive integers
Irving Kaplansky (1995)
Acta Arithmetica
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Irving Kaplansky (1995)
Acta Arithmetica
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Trevor D. Wooley (1998)
Acta Arithmetica
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Claudia Spiro-Silverman (1995)
Acta Arithmetica
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Paolo De Lucia, Pedro Morales (1998)
Fundamenta Mathematicae
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We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes...
Ken Ono (1996)
Acta Arithmetica
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D. R. Heath-Brown (1997)
Acta Arithmetica
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Alan Dow (1997)
Fundamenta Mathematicae
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An Open Coloring Axiom type principle is formulated for uncountable cardinals and is shown to be a consequence of the Proper Forcing Axiom. Several applications are found. We also study dense C*-embedded subspaces of ω*, showing that there can be such sets of cardinality and that it is consistent that ω*{pis C*-embedded for some but not all p ∈ ω*.
E. Bombieri, S. Sperber (1995)
Acta Arithmetica
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Lou van den Dries (1998)
Fundamenta Mathematicae
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The structure of definable sets and maps in dense elementary pairs of o-minimal expansions of ordered abelian groups is described. It turns out that a certain notion of "small definable set" plays a special role in this description.
Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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