Euler's concordant forms
Ken Ono (1996)
Acta Arithmetica
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Ken Ono (1996)
Acta Arithmetica
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D. R. Heath-Brown (1997)
Acta Arithmetica
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Kenneth Kunen, Jan van Mill (1995)
Fundamenta Mathematicae
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We prove that the statement: "there is a Corson compact space with a non-separable Radon measure" is equivalent to a number of natural statements in set theory.
Ken Ono, Lawrence Sze (1997)
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...
Teresa Bigorajska, Henryk Kotlarski, James Schmerl (1998)
Fundamenta Mathematicae
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We continue the earlier research of [1]. In particular, we work out a class of regular interstices and show that selective types are realized in regular interstices. We also show that, contrary to the situation above definable elements, the stabilizer of an element inside M(0) whose type is selective need not be maximal.