GENERALIZED AMALGAMATION AND HOMOGENEITY.

In this paper we shall prove that any 2-transitive finitely homogeneous structure with a supersimple theory satisfying a generalized amalgamation property is a random structure. In particular, this adapts a result of Koponen for binary homogeneous structures to arbitrary ones without binary relation...

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Publicado en:Journal of Symbolic Logic Vol. 82; no. 4; pp. 1409 - 1422
Autor principal: PALACÍN, DANIEL
Formato: Artículo
Publicado: Cambridge University Press Dec2017
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Dec2017
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        atl: GENERALIZED AMALGAMATION AND HOMOGENEITY.
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        au: PALACÍN, DANIEL
        affil: MATHEMATISCHES INSTITUT UNIVERSITÄT MÜNSTER EINSTEINSTRASSE 62 48149 MÜNSTER, GERMANY
      su:
        Homogeneity
        Mathematical analysis
        Reversible computing
        Numerical analysis
        Limits (Mathematics)
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        subj:
          Homogeneity
          Mathematical analysis
          Reversible computing
          Numerical analysis
          Limits (Mathematics)
      keyword:
        03C45
        amalgamation property
        model theory
        random structure
        simple theory
      ab: In this paper we shall prove that any 2-transitive finitely homogeneous structure with a supersimple theory satisfying a generalized amalgamation property is a random structure. In particular, this adapts a result of Koponen for binary homogeneous structures to arbitrary ones without binary relations. Furthermore, we point out a relation between generalized amalgamation, triviality and quantifier elimination in simple theories.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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