O-minimal theory

Results: 23



#Item
11Functions and mappings / Model theory / Calculus / Germ / Sheaf theory / O-minimal theory / Function / Sheaf / Net / Mathematics / Mathematical analysis / Topology

Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras J.-P. Rolin∗ and T. Servi† Abstract We consider for every n ∈ N an algebra An of germs at 0 ∈ Rn of continuous real-val

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Source URL: math.u-bourgogne.fr

Language: English - Date: 2013-03-20 10:39:22
12Monotonic function / Convex function / Continuous function / Mathematical analysis / Mathematics / Order theory

A HELLY-TYPE THEOREM FOR SEMI-MONOTONE SETS AND MONOTONE MAPS SAUGATA BASU, ANDREI GABRIELOV, AND NICOLAI VOROBJOV Abstract. We consider sets and maps defined over an o-minimal structure over the reals, such as real semi

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Source URL: www.math.purdue.edu

Language: English - Date: 2012-02-06 10:58:55
13Real analysis / Homeomorphisms / Functional analysis / Monotonic function / Continuous function / Semi-continuity / Topological property / Monotone / Monotone convergence theorem / Mathematical analysis / Mathematics / Order theory

MONOTONE FUNCTIONS AND MAPS arXiv:1201.0491v1 [math.LO] 2 Jan 2012 SAUGATA BASU, ANDREI GABRIELOV, AND NICOLAI VOROBJOV Abstract. In [1] we defined semi-monotone sets, as open bounded sets, definable in an o-minimal s

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Source URL: www.math.purdue.edu

Language: English - Date: 2012-01-04 13:06:52
14Homotopy / CW complex / Degree of a continuous mapping / Homeomorphism / Homotopy group / Homotopy lifting property / Topology / Homotopy theory / Algebraic topology

ON THE NUMBER OF TOPOLOGICAL TYPES OCCURRING IN A PARAMETRIZED FAMILY OF ARRANGEMENTS SAUGATA BASU Abstract. Let S(R) be an o-minimal structure over R, T ⊂ Rk1 +k2 +` a closed definable set, and π1 : Rk1 +k2 +` → Rk

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Source URL: www.math.purdue.edu

Language: English - Date: 2010-06-16 13:35:48
15Real algebraic geometry / General topology / Model theory / Mathematical structures / Algebraic variety / O-minimal theory / Sheaf / Combinatorics / Differentiable manifold / Topology / Abstract algebra / Algebraic geometry

Proceedings of the London Mathematical Society Advance Access published August 9, 2009 Proc. London Math. Soc. Page 1 of 24 e 2009 London Mathematical Society C

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Source URL: www.math.purdue.edu

Language: English - Date: 2010-06-16 13:36:40
16Geometry / Model theory / Combinatorics / O-minimal theory / Algebraic variety / Betti number / Mathematics / Abstract algebra / Real algebraic geometry

Introduction Arrangements O-minimal Structures and Admissible Sets

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Source URL: www.math.purdue.edu

Language: English - Date: 2007-02-22 09:38:22
17Mathematical structures / Algebraic structures / Pfaffian function / O-minimal theory / Pfaffian / FO / Betti number / Structure / Mathematics / Algebra / Model theory

Combinatorial Complexity in O-minimal Geometry Saugata Basu

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Source URL: www.math.purdue.edu

Language: English - Date: 2007-02-13 17:05:44
18Metalogic / Strongly minimal theory / O-minimal theory / Morley rank / Stable group / Hrushovski construction / Mathematical logic / Alexander Grothendieck / Stable theory / Model theory / Abstract algebra / Mathematics

Model Theory and Applications to Algebra and Analysis Model Theory and Applications to Algebra and Analysis 17 January to 15 July 2005 Report from the Organisers:

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Source URL: www.newton.ac.uk

Language: English - Date: 2005-11-30 08:00:44
19Mathematics / Structure / Dimension / Topology / Combinatorics / O-minimal theory

Introduction O-minimal Structures and Admissible Sets Results

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Source URL: www.math.purdue.edu

Language: English - Date: 2008-06-12 16:22:20
20Geometry / Model theory / O-minimal theory / Topology / Combinatorics / Betti number / Algebraic variety / Mathematics / Abstract algebra / Real algebraic geometry

Introduction Arrangements O-minimal Structures Admissible Sets Results

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Source URL: www.math.purdue.edu

Language: English - Date: 2007-02-06 05:07:12
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