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Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale

D. D'Acunto (2000)

Annales Polonici Mathematici

We prove that the set of asymptotic critical values of a $C^{1}$ function definable in an o-minimal structure is finite, even if the structure is not polynomially bounded. As a consequence, the function is a locally trivial fibration over the complement of this set.

Valuations of function fields form the geometrical point of view.

Ludwig Bröcker, Heinz-Werner Schülting (1986)

Journal für die reine und angewandte Mathematik

Variants of Robinson's essentially undecidable theory R.

J.C. Shepherdson, J.P. Jones (1983)

Archiv für mathematische Logik und Grundlagenforschung

Variations of Keisler's theorem for complete embeddings

William Powell (1974)

Fundamenta Mathematicae

Varieties with polynomially many models, I

Paweł M. Idziak, Ralph McKenzie (2001)

Fundamenta Mathematicae

A characterization of locally finite congruence modular varieties with the number of at most k-generated models being bounded from above by a polynomial in k is given. These are exactly the varieties polynomially equivalent to the varieties of unitary modules over a finite ring of finite representation type.

Displaying 1 – 8 of 8

Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale

Valuations of function fields form the geometrical point of view.

Variants of Robinson's essentially undecidable theory R.

Variations of Keisler's theorem for complete embeddings

Varieties with polynomially many models, I

Various remarks on quasi-universal model classes.

Vaught's conjecture for theories of one unary operation

Volumes transverses aux feuilletages définissables dans des structures o-minimales.

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