Corrigendum to the paper

Dimitrios Poulakis

Displaying similar documents to “Corrigendum to the paper 'The number of solutions of the Mordell equation' (Acta Arith. 88 (1999), 173–179)”

On the diophantine equation $(\binom{n}{k}) = x^{l}$

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)”.

On elliptic curves in characteristic 2 with wild additive reduction

Andreas Schweizer (1999)

Acta Arithmetica

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Paul Erdős’s (1913-1996)

András Sárközy (1997)

Acta Arithmetica

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On a problem of Eisenstein

Peter Stevenhagen (1996)

Acta Arithmetica

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The disjoint arcs property for homogeneous curves

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.

Continuous images and other topological properties of Valdivia compacta

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.

Elementary abelian 2-primary parts of K₂𝓞 and related graphs in certain quadratic number fields

A. Vazzana (1997)

Acta Arithmetica

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On large Picard groups and the Hasse Principle for curves and K3 surfaces

Daniel Coray, Constantin Manoil (1996)

Acta Arithmetica

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Recursive expansions

C. Ash, J. Knight (1994)

Fundamenta Mathematicae

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Let A be a recursive structure, and let ψ be a recursive infinitary $Π_{2}$ 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...