F Wagner Lyon

Camille Jordan

Description

Logic Colloquium 2006 F. Wagner, Lyon-1 Introduction Fraısse's Construction Hrushovski's Method Modification I Modification II ?0 -categoricity Strong minimality Red fields Green fields Fusion Hrushovski's Amalgamation Construction Frank O Wagner Institut Camille Jordan Universite Claude Bernard Lyon-1 France 1 August 2006

• ehud hrushovski modified


• green fields


• obtaining counter-examples


• hrushovski's method


• injective ?i


• categoricity strong minimality


• categorical

Sujets

• Jordan
• Green Fields
• Categorical

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 22
• Langue: Deutsch

Extrait

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1 August 2006

Frank O Wagner Institut Camille Jordan Universit ´ eClaudeBernardLyon-1 France

Hrushovski’s Amalgamation Construction

Plan

Fra¨ss ´ e’sConstruction

Hrushovski’s Method Modication I Modication II ℵ 0 -categoricity Strong minimality Red elds Green elds Fusion

Introduction

1

2

3

oLig C c yL ,renga rtnI 1-no iuqulool .W 6 F 00 m 2 nots ’e C s oi H nurtc tionoduc ss´Fra¨ onti od I M od d Mcai M s’i ohte hsurksvo y Strongm egoricit II 0 ℵ c-ta iacitno ious s F ldeenre s G dledeR ytilamini n

obtaining counter-examples to conjectures by Lachlan and Zilber.

In1986,EhudHrushovskimodiedFra¨sse ´ ’sconstructionof a universial homogeneous countable relational structure from the class of its nite substructures, in order to obtain stablestructures with particular properties. In particular, he constructed

anℵ 0 -categorical stable pseudoplane, a strongly minimal set with an exotic geometry which is not disintegrated, but does not interpret any group, the fusion of two strongly minimal sets in disjoint languages in a third one,

Introduction

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