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Displaying similar documents to “Levelled O-minimal structures.”

A family of $2^{ℵ_{1}}$ logarithmic functions of distinct growth rates

Salma Kuhlmann (2010)

Open Mathematics

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We construct a totally ordered set Γ of positive infinite germs (i.e. germs of positive real-valued functions that tend to +∞), with order type being the lexicographic product ℵ1 × ℤ2. We show that Γ admits $2^{ℵ_{1}}$ order preserving automorphisms of pairwise distinct growth rates.

Cayley's theorem for ordered groups: $o$ -minimality.

Baizhanov, Bektur, Baldwin, John, Verbovskiy, Viktor (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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On the power of ordered sets

Milan Sekanina (1965)

Archivum Mathematicum

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Some Questions Concerning Minimal Structures

Predrag Tanović (2007)

Publications de l'Institut Mathématique

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On the equipollence of sets

Abian, Alexander (1964)

Portugaliae mathematica

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The nonreduced order spectrum of a commutative ring.

James McEnerney, Gilbert Stengle (1997)

Revista Matemática de la Universidad Complutense de Madrid

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A failure of quantifier elimination.

Angus Macintyre, David Marker (1997)

Revista Matemática de la Universidad Complutense de Madrid

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We show that log is needed to eliminate quantifiers in the theory of the real numbers with restricted analytic functions and exponentiation.

On the decidability of the theory of linear orderings with generalized quantifiers

H. Tuschik (1980)

Fundamenta Mathematicae

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On Minimal Ordered Structures

Predrag Tanović (2005)

Publications de l'Institut Mathématique

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