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 n k = x l

K. Győry (1997)

Acta Arithmetica

Similarity:

P. 294, line 14: For “Satz 8” read “Satz 7”, and for “equation (10)” read “equation (13)”.

The disjoint arcs property for homogeneous curves

Paweł Krupski (1995)

Fundamenta Mathematicae

Similarity:

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

Similarity:

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.

Recursive expansions

C. Ash, J. Knight (1994)

Fundamenta Mathematicae

Similarity:

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...