On the diophantine equation
K. Győry (1997)
Acta Arithmetica
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P. 294, line 14: For “Satz 8” read “Satz 7”, and for “equation (10)” read “equation (13)”.
K. Győry (1997)
Acta Arithmetica
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P. 294, line 14: For “Satz 8” read “Satz 7”, and for “equation (10)” read “equation (13)”.
Andreas Schweizer (1999)
Acta Arithmetica
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András Sárközy (1997)
Acta Arithmetica
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Peter Stevenhagen (1996)
Acta Arithmetica
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Paweł Krupski (1995)
Fundamenta Mathematicae
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The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and small subcontinua are not ∞-ods.
Ondřej Kalenda (1999)
Fundamenta Mathematicae
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We study topological properties of Valdivia compact spaces. We prove in particular that a compact Hausdorff space K is Corson provided each continuous image of K is a Valdivia compactum. This answers a question of M. Valdivia (1997). We also prove that the class of Valdivia compacta is stable with respect to arbitrary products and we give a generalization of the fact that Corson compacta are angelic.
A. Vazzana (1997)
Acta Arithmetica
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Daniel Coray, Constantin Manoil (1996)
Acta Arithmetica
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C. Ash, J. Knight (1994)
Fundamenta Mathematicae
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Let A be a recursive structure, and let ψ be a recursive infinitary sentence involving a new relation symbol. The main result of the paper gives syntactical conditions which are necessary and sufficient for every recursive copy of A to have a recursive expansion to a model of ψ, provided A satisfies certain decidability conditions. The decidability conditions involve a notion of rank. The main result is applied to prove some earlier results of Metakides-Nerode and Goncharov. In these...