Geodesic
Supersimple theories
Buechler, Steven1 ; Pillay, Anand2 ; Wagner, Frank3, 4
1 Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-5683
2 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
3 Mathematical Institute, Oxford University, Oxford, England
4 Institut Girard Desargues (Lyon I), Université Claude Bernard, 43, Boulevard du 11 Novembre 1918, 69622 Villeurbanne-Cedex, France
Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 109-124

Voir la notice de l'article provenant de la source American Mathematical Society

We prove elimination of hyperimaginaries in supersimple theories. This means that if an equivalence relation on the set of realisations of a complete type (in a supersimple theory) is defined by a possibly infinite conjunction of first order formulas, then it is the intersection of definable equivalence relations.
DOI : 10.1090/S0894-0347-00-00350-7

Buechler, Steven 1 ; Pillay, Anand 2 ; Wagner, Frank 3, 4

1 Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556-5683
2 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
3 Mathematical Institute, Oxford University, Oxford, England
4 Institut Girard Desargues (Lyon I), Université Claude Bernard, 43, Boulevard du 11 Novembre 1918, 69622 Villeurbanne-Cedex, France 
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Buechler, Steven; Pillay, Anand; Wagner, Frank. Supersimple theories. Journal of the American Mathematical Society, Tome 14 (2001) no. 1, pp. 109-124. doi: 10.1090/S0894-0347-00-00350-7

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