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Condition de chaine en theorie des relations

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An Erratum to this article was published on 01 September 1978

Abstract

Recall that the age of a relation is the set of isomorphy types of its finite subrelations. Here we prove, with a topological argument, that if the set of ages included in a given age is at most denumerable, then it is partially well ordered by inclusion.

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Bibliographie

  1. G. W. Day,Superatomic boolean algebra, Pacific J. Math.23 (1967), 479–489.

    MATH  MathSciNet  Google Scholar 

  2. E. Fisher and A. Robinson,Inductive theories and their forcing companions, Israel J. Math.12 (1972), 95–107.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Fraïssé,Cours de Logique Mathématique, Tome 1,Relation et formule logique, 2ème Edition, Gauthier-Villars, Paris, 1971.

    Google Scholar 

  4. R. Fraïssé,Cours de Logique Mathématique, Tome 2,Théorie des modèles, 2ème Edition, Gauthier-Villars, Paris, 1972.

    Google Scholar 

  5. R. Fraïssé,Abritement entre relations et spécialement entre chaînes, Symposia Mathematica5 (1970), 203–251.

    Google Scholar 

  6. R. Fraïsse et M. Pouzet,Interprétabilité d’une relation par une chaîne, C. R. Acad. Sci. Paris Sér. A,272 (1971), 1624.

    MATH  Google Scholar 

  7. R. Frïssé et M. Pouzet,Sur une classe de relations n’ayant qu’un nombre fini de bornes, C. R. Acad. Sci. Paris, Sér A,273 (1971), 275.

    Google Scholar 

  8. C. Frasnay,Quelques problèmes combinatoires concernant les ordres totaux et les relations monomorphes, Ann. Inst. Fourier (Grenoble),15 (1965), 415–524.

    MATH  MathSciNet  Google Scholar 

  9. J. B. Kruskal,Well quasi ordering, the tree theorem, and Wazsonyi’s conjecture, Trans. Amer. Math. Soc.95 (1960), 210–225.

    Article  MATH  MathSciNet  Google Scholar 

  10. R. D. Mayer and R. S. Pierce,Boolean algebras with ordered bases, Pacific J. Math.10 (1960), 925–942.

    MATH  MathSciNet  Google Scholar 

  11. M. Pouzet,Le belordre d'abritement et ses rapports avec les bornes d’une multirelation, C. R. Acad. Sci. Paris, Sér. A,274 (1972), 1677–1680.

    MATH  MathSciNet  Google Scholar 

  12. M. Pouzet,Ages belordonnés, preprint.

  13. W. Sierpinski et S. Mazurkiewicz,Contribution à la topologie des ensembles, Fund. Math.1 (1920), 17–27.

    Google Scholar 

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Additional information

Les notions et leur terminologie introduites dans cette section sont pour l'essentiel empruntées à R. Fraïssé [3].

An erratum to this article is available at http://dx.doi.org/10.1007/BF02761505.

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Pouzet, M. Condition de chaine en theorie des relations. Israel J. Math. 30, 65–84 (1978). https://doi.org/10.1007/BF02760830

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  • DOI: https://doi.org/10.1007/BF02760830

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