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O-minimal theory
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11	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 Add to Reading List Source URL: math.u-bourgogne.fr Language: English - Date: 2013-03-20 10:39:22 Functions and mappings Model theory Calculus Germ Sheaf theory O-minimal theory Function Sheaf Net Mathematics Mathematical analysis Topology
12	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 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-02-06 10:58:55 Monotonic function Convex function Continuous function Mathematical analysis Mathematics Order theory
13	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 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-01-04 13:06:52 Real analysis Homeomorphisms Functional analysis Monotonic function Continuous function Semi-continuity Topological property Monotone Monotone convergence theorem Mathematical analysis Mathematics Order theory
14	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 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:48 Homotopy CW complex Degree of a continuous mapping Homeomorphism Homotopy group Homotopy lifting property Topology Homotopy theory Algebraic topology
15	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 Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:36:40 Real algebraic geometry General topology Model theory Mathematical structures Algebraic variety O-minimal theory Sheaf Combinatorics Differentiable manifold Topology Abstract algebra Algebraic geometry
16	Introduction Arrangements O-minimal Structures and Admissible Sets Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2007-02-22 09:38:22 Geometry Model theory Combinatorics O-minimal theory Algebraic variety Betti number Mathematics Abstract algebra Real algebraic geometry
17	Combinatorial Complexity in O-minimal Geometry Saugata Basu Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2007-02-13 17:05:44 Mathematical structures Algebraic structures Pfaffian function O-minimal theory Pfaffian FO Betti number Structure Mathematics Algebra Model theory
18	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: Add to Reading List Source URL: www.newton.ac.uk Language: English - Date: 2005-11-30 08:00:44 Metalogic Strongly minimal theory O-minimal theory Morley rank Stable group Hrushovski construction Mathematical logic Alexander Grothendieck Stable theory Model theory Abstract algebra Mathematics
19	Introduction O-minimal Structures and Admissible Sets Results Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2008-06-12 16:22:20 Mathematics Structure Dimension Topology Combinatorics O-minimal theory
20	Introduction Arrangements O-minimal Structures Admissible Sets Results Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2007-02-06 05:07:12 Geometry Model theory O-minimal theory Topology Combinatorics Betti number Algebraic variety Mathematics Abstract algebra Real algebraic geometry