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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


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Publié par
Nombre de lectures 22
Langue Deutsch
Signaler un problème
LogicColloquium0260.FaWngreL,oy1In-rontctdunFio¨are´ssoCsrtsnonHructivskiushohtdoseMctaoMiddiMonIionIioatcetac-0IyticiroginamilyttSorgnimGreenelRedeldsuFsdnois
1 August 2006
Frank O Wagner Institut Camille Jordan Universit´eClaudeBernardLyon-1 France
Hrushovski’s Amalgamation Construction
Plan
Fra¨ss´esConstruction
Hrushovski’s Method Modication I Modication II 0-categoricity Strong minimality Red elds Green elds Fusion
Introduction
1
2
3
oLigCcyL,rengartnI1-noiuqulool.W6F00m2notseCsoiHnurtctionoducss´Fra¨ontiodIModdMcaiMsiohtehsurksvoyStrongmegoricitII0c-taiacitnoioussFldeenresGdledeRytilaminin
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
an0-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
quloolcCgiLoe´snoCsrFnos¨arunHovshrustioctW.gaen,rui2m00F6troductiLyon-1InrtnotiSymilamgni0-conIIoricategMInoitacitacidoetsMiskioddMhodlesuFsnoiyRiteedsGldenre