### On Davenport's bound for the degree of f³ - g² and Riemann's Existence Theorem

Umberto Zannier (1995)

Acta Arithmetica

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Umberto Zannier (1995)

Acta Arithmetica

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J.-L. Colliot-Thélène, A. N. Skorobogatov, Sir Peter Swinnerton-Dyer (1997)

Acta Arithmetica

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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.

E. V. Flynn, N. P. Smart (1997)

Acta Arithmetica

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R. Dvornicich, U. Zannier (1995)

Acta Arithmetica

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Richard Millspaugh, Leonard Rubin, Philip Schapiro (1995)

Fundamenta Mathematicae

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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...