Betti number

Results: 71



#Item
51Algebraic topology / Topology / Topological graph theory / Algebraic combinatorics / Polyhedral combinatorics / Partially ordered set / Graded poset / Euler characteristic / Betti number / Mathematics / Order theory / Abstract algebra

THE HYPERTREE POSET AND THE 2 -BETTI NUMBERS OF THE MOTION GROUP OF THE TRIVIAL LINK JON MCCAMMOND 1 AND JOHN MEIER 2 Abstract. We give explicit formulae for the Euler characteristic and 2 cohomology of the group of moti

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Source URL: www.math.ucsb.edu

Language: English - Date: 2003-10-24 11:40:56
52Topological graph theory / Real algebraic geometry / Betti number / Euler characteristic / Cylindrical algebraic decomposition / Algorithm / Leonhard Euler / Real closed field / Time complexity / Mathematics / Abstract algebra / Algebraic topology

Introduction Ideas behind ETR and computing Euler-Poincaré Characteristic Algorithm for Computing the Euler-Poincaré characteristic

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Source URL: www.math.purdue.edu

Language: English - Date: 2005-11-25 07:51:12
53Geometry / 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
54Geometry / Conjectures / Haken manifold / Virtually Haken conjecture / Geometrization conjecture / Manifold / William Thurston / Residually finite group / Betti number / Topology / 3-manifolds / Geometric topology

The Virtual Haken Conjecture: Experiments and Examples June 21, 2001 Nathan M. Dunfield ([removed])

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Source URL: www.math.uga.edu

Language: English - Date: 2008-01-20 15:32:00
55Geometry / Conjectures / Haken manifold / Virtually Haken conjecture / Geometrization conjecture / Manifold / William Thurston / Residually finite group / Betti number / Topology / 3-manifolds / Geometric topology

The Virtual Haken Conjecture: Experiments and Examples June 21, 2001 Nathan M. Dunfield ([removed])

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Source URL: www.math.uga.edu

Language: English - Date: 2008-01-20 15:32:00
56Mathematical 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
57Geometry / Real closed field / Semialgebraic set / Betti number / Algebraic variety / Algorithm / Abstract algebra / Mathematics / Real algebraic geometry

Introduction Quantitative Bounds Proof of the main theorem

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Source URL: www.math.purdue.edu

Language: English - Date: 2008-06-12 16:23:19
58Geometry / Betti number / Algorithm / Algebraic variety / Real closed field / Pi / Semialgebraic set / Real number / Polynomial / Mathematics / Abstract algebra / Real algebraic geometry

Bounds Algorithmic Results Techniques

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Source URL: www.math.purdue.edu

Language: English - Date: 2005-11-25 07:51:12
59Real algebraic geometry / Algebraic geometry / Betti number / Algorithm / Computational complexity theory / Mathematics / Abstract algebra / Topology

Introduction Results Outline of the Methods

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Source URL: www.math.purdue.edu

Language: English - Date: 2007-02-06 05:22:52
60Real algebraic geometry / Algebraic topology / Betti number / Topological graph theory / Polynomial / Combinatorics / Algebraic variety / Semialgebraic set / Connected component / Abstract algebra / Mathematics / Geometry

1 New bounds for Betti numbers of

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Source URL: www.math.purdue.edu

Language: English - Date: 2002-05-26 10:55:31
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